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Finding the Fourth Proportional to 412,730.38, 569,649.62 and 267,715.88

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Solution

The fourth proportional to 412,730.38, 569,649.62 and 267,715.88 is: 369,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,730.38 : 569,649.62 = 267,715.88 : x
  2. Step 2: Convert to fraction form
    412,730.38/569,649.62 = 267,715.88/x
  3. Step 3: Cross multiply
    412,730.38x = 569,649.62 × 267,715.88
  4. Step 4: Simplify right side
    412,730.38x = 152,504,245,123.14
  5. Step 5: Solve for x
    x = 152,504,245,123.14/412,730.38
  6. Step 6: Final answer
    x = 369,500.90

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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.