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Finding the Fourth Proportional to 614,947.60, 922,421.40 and 509,971.60

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Solution

The fourth proportional to 614,947.60, 922,421.40 and 509,971.60 is: 764,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,947.60 : 922,421.40 = 509,971.60 : x
  2. Step 2: Convert to fraction form
    614,947.60/922,421.40 = 509,971.60/x
  3. Step 3: Cross multiply
    614,947.60x = 922,421.40 × 509,971.60
  4. Step 4: Simplify right side
    614,947.60x = 470,408,717,232.24
  5. Step 5: Solve for x
    x = 470,408,717,232.24/614,947.60
  6. Step 6: Final answer
    x = 764,957.40

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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.