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Finding the Fourth Proportional to 614,313.60, 921,470.40 and 509,337.60

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Solution

The fourth proportional to 614,313.60, 921,470.40 and 509,337.60 is: 764,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,313.60 : 921,470.40 = 509,337.60 : x
  2. Step 2: Convert to fraction form
    614,313.60/921,470.40 = 509,337.60/x
  3. Step 3: Cross multiply
    614,313.60x = 921,470.40 × 509,337.60
  4. Step 4: Simplify right side
    614,313.60x = 469,339,522,007.04
  5. Step 5: Solve for x
    x = 469,339,522,007.04/614,313.60
  6. Step 6: Final answer
    x = 764,006.40

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