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Finding the Fourth Proportional to 534,610.40, 802,693.20 and 402,418.40

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Solution

The fourth proportional to 534,610.40, 802,693.20 and 402,418.40 is: 604,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,610.40 : 802,693.20 = 402,418.40 : x
  2. Step 2: Convert to fraction form
    534,610.40/802,693.20 = 402,418.40/x
  3. Step 3: Cross multiply
    534,610.40x = 802,693.20 × 402,418.40
  4. Step 4: Simplify right side
    534,610.40x = 323,018,513,234.88
  5. Step 5: Solve for x
    x = 323,018,513,234.88/534,610.40
  6. Step 6: Final answer
    x = 604,212.92

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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.