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Finding the Fourth Proportional to 284,003.78, 391,925.20 and 156,679.38

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Solution

The fourth proportional to 284,003.78, 391,925.20 and 156,679.38 is: 216,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,003.78 : 391,925.20 = 156,679.38 : x
  2. Step 2: Convert to fraction form
    284,003.78/391,925.20 = 156,679.38/x
  3. Step 3: Cross multiply
    284,003.78x = 391,925.20 × 156,679.38
  4. Step 4: Simplify right side
    284,003.78x = 61,406,597,342.38
  5. Step 5: Solve for x
    x = 61,406,597,342.38/284,003.78
  6. Step 6: Final answer
    x = 216,217.54

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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.