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Finding the Fourth Proportional to 257,588.91, 386,475.30 and 156,592.44

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Solution

The fourth proportional to 257,588.91, 386,475.30 and 156,592.44 is: 234,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,588.91 : 386,475.30 = 156,592.44 : x
  2. Step 2: Convert to fraction form
    257,588.91/386,475.30 = 156,592.44/x
  3. Step 3: Cross multiply
    257,588.91x = 386,475.30 × 156,592.44
  4. Step 4: Simplify right side
    257,588.91x = 60,519,110,226.73
  5. Step 5: Solve for x
    x = 60,519,110,226.73/257,588.91
  6. Step 6: Final answer
    x = 234,944.55

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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.