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Finding the Fourth Proportional to 542,234.58, 813,454.17 and 205,376.10

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Solution

The fourth proportional to 542,234.58, 813,454.17 and 205,376.10 is: 308,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,234.58 : 813,454.17 = 205,376.10 : x
  2. Step 2: Convert to fraction form
    542,234.58/813,454.17 = 205,376.10/x
  3. Step 3: Cross multiply
    542,234.58x = 813,454.17 × 205,376.10
  4. Step 4: Simplify right side
    542,234.58x = 167,064,044,963.34
  5. Step 5: Solve for x
    x = 167,064,044,963.34/542,234.58
  6. Step 6: Final answer
    x = 308,102.90

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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.