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Finding the Fourth Proportional to 532,414.98, 734,646 and 314,593.36

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Solution

The fourth proportional to 532,414.98, 734,646 and 314,593.36 is: 434,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,414.98 : 734,646 = 314,593.36 : x
  2. Step 2: Convert to fraction form
    532,414.98/734,646 = 314,593.36/x
  3. Step 3: Cross multiply
    532,414.98x = 734,646 × 314,593.36
  4. Step 4: Simplify right side
    532,414.98x = 231,114,753,550.56
  5. Step 5: Solve for x
    x = 231,114,753,550.56/532,414.98
  6. Step 6: Final answer
    x = 434,087.62

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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.