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Finding the Fourth Proportional to 542,502.77, 813,642.98 and 205,427.14

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Solution

The fourth proportional to 542,502.77, 813,642.98 and 205,427.14 is: 308,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,502.77 : 813,642.98 = 205,427.14 : x
  2. Step 2: Convert to fraction form
    542,502.77/813,642.98 = 205,427.14/x
  3. Step 3: Cross multiply
    542,502.77x = 813,642.98 × 205,427.14
  4. Step 4: Simplify right side
    542,502.77x = 167,144,347,301.23
  5. Step 5: Solve for x
    x = 167,144,347,301.23/542,502.77
  6. Step 6: Final answer
    x = 308,098.61

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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.