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Finding the Fourth Proportional to 736,387, 1,016,207.70 and 414,090.24

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Solution

The fourth proportional to 736,387, 1,016,207.70 and 414,090.24 is: 571,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,387 : 1,016,207.70 = 414,090.24 : x
  2. Step 2: Convert to fraction form
    736,387/1,016,207.70 = 414,090.24/x
  3. Step 3: Cross multiply
    736,387x = 1,016,207.70 × 414,090.24
  4. Step 4: Simplify right side
    736,387x = 420,801,690,382.85
  5. Step 5: Solve for x
    x = 420,801,690,382.85/736,387
  6. Step 6: Final answer
    x = 571,440.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.