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Finding the Fourth Proportional to 381,226.86, 571,867.02 and 156,598.74

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Solution

The fourth proportional to 381,226.86, 571,867.02 and 156,598.74 is: 234,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,226.86 : 571,867.02 = 156,598.74 : x
  2. Step 2: Convert to fraction form
    381,226.86/571,867.02 = 156,598.74/x
  3. Step 3: Cross multiply
    381,226.86x = 571,867.02 × 156,598.74
  4. Step 4: Simplify right side
    381,226.86x = 89,553,654,779.55
  5. Step 5: Solve for x
    x = 89,553,654,779.55/381,226.86
  6. Step 6: Final answer
    x = 234,909.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.