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Finding the Fourth Proportional to 381,562.38, 526,648.98 and 228,691.08

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Solution

The fourth proportional to 381,562.38, 526,648.98 and 228,691.08 is: 315,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,562.38 : 526,648.98 = 228,691.08 : x
  2. Step 2: Convert to fraction form
    381,562.38/526,648.98 = 228,691.08/x
  3. Step 3: Cross multiply
    381,562.38x = 526,648.98 × 228,691.08
  4. Step 4: Simplify right side
    381,562.38x = 120,439,924,017.10
  5. Step 5: Solve for x
    x = 120,439,924,017.10/381,562.38
  6. Step 6: Final answer
    x = 315,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.