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Finding the Fourth Proportional to 614,440.10, 921,660.15 and 509,464.10

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Solution

The fourth proportional to 614,440.10, 921,660.15 and 509,464.10 is: 764,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,440.10 : 921,660.15 = 509,464.10 : x
  2. Step 2: Convert to fraction form
    614,440.10/921,660.15 = 509,464.10/x
  3. Step 3: Cross multiply
    614,440.10x = 921,660.15 × 509,464.10
  4. Step 4: Simplify right side
    614,440.10x = 469,552,758,825.62
  5. Step 5: Solve for x
    x = 469,552,758,825.62/614,440.10
  6. Step 6: Final answer
    x = 764,196.15

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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.