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Finding the Fourth Proportional to 498,598, 687,716.06 and 337,382.08

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Solution

The fourth proportional to 498,598, 687,716.06 and 337,382.08 is: 465,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,598 : 687,716.06 = 337,382.08 : x
  2. Step 2: Convert to fraction form
    498,598/687,716.06 = 337,382.08/x
  3. Step 3: Cross multiply
    498,598x = 687,716.06 × 337,382.08
  4. Step 4: Simplify right side
    498,598x = 232,023,074,772.21
  5. Step 5: Solve for x
    x = 232,023,074,772.21/498,598
  6. Step 6: Final answer
    x = 465,350.99

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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.