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Finding the Fourth Proportional to 498,499, 687,925.10 and 272,144.50

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Solution

The fourth proportional to 498,499, 687,925.10 and 272,144.50 is: 375,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,499 : 687,925.10 = 272,144.50 : x
  2. Step 2: Convert to fraction form
    498,499/687,925.10 = 272,144.50/x
  3. Step 3: Cross multiply
    498,499x = 687,925.10 × 272,144.50
  4. Step 4: Simplify right side
    498,499x = 187,215,032,376.95
  5. Step 5: Solve for x
    x = 187,215,032,376.95/498,499
  6. Step 6: Final answer
    x = 375,557.49

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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.