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Finding the Fourth Proportional to 534,614.40, 802,699.20 and 402,422.40

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Solution

The fourth proportional to 534,614.40, 802,699.20 and 402,422.40 is: 604,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,614.40 : 802,699.20 = 402,422.40 : x
  2. Step 2: Convert to fraction form
    534,614.40/802,699.20 = 402,422.40/x
  3. Step 3: Cross multiply
    534,614.40x = 802,699.20 × 402,422.40
  4. Step 4: Simplify right side
    534,614.40x = 323,024,138,542.08
  5. Step 5: Solve for x
    x = 323,024,138,542.08/534,614.40
  6. Step 6: Final answer
    x = 604,218.93

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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.