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Finding the Fourth Proportional to 498,162, 687,463.16 and 271,807.50

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Solution

The fourth proportional to 498,162, 687,463.16 and 271,807.50 is: 375,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,162 : 687,463.16 = 271,807.50 : x
  2. Step 2: Convert to fraction form
    498,162/687,463.16 = 271,807.50/x
  3. Step 3: Cross multiply
    498,162x = 687,463.16 × 271,807.50
  4. Step 4: Simplify right side
    498,162x = 186,857,642,861.70
  5. Step 5: Solve for x
    x = 186,857,642,861.70/498,162
  6. Step 6: Final answer
    x = 375,094.13

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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.