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Finding the Fourth Proportional to 614,935.60, 922,403.40 and 509,959.60

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Solution

The fourth proportional to 614,935.60, 922,403.40 and 509,959.60 is: 764,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,935.60 : 922,403.40 = 509,959.60 : x
  2. Step 2: Convert to fraction form
    614,935.60/922,403.40 = 509,959.60/x
  3. Step 3: Cross multiply
    614,935.60x = 922,403.40 × 509,959.60
  4. Step 4: Simplify right side
    614,935.60x = 470,388,468,902.64
  5. Step 5: Solve for x
    x = 470,388,468,902.64/614,935.60
  6. Step 6: Final answer
    x = 764,939.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.