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Finding the Fourth Proportional to 381,388.12, 572,266.50 and 156,914.20

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Solution

The fourth proportional to 381,388.12, 572,266.50 and 156,914.20 is: 235,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,388.12 : 572,266.50 = 156,914.20 : x
  2. Step 2: Convert to fraction form
    381,388.12/572,266.50 = 156,914.20/x
  3. Step 3: Cross multiply
    381,388.12x = 572,266.50 × 156,914.20
  4. Step 4: Simplify right side
    381,388.12x = 89,796,740,034.30
  5. Step 5: Solve for x
    x = 89,796,740,034.30/381,388.12
  6. Step 6: Final answer
    x = 235,447.13

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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.