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Finding the Fourth Proportional to 412,672.54, 569,607.12 and 267,473.38

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Solution

The fourth proportional to 412,672.54, 569,607.12 and 267,473.38 is: 369,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,672.54 : 569,607.12 = 267,473.38 : x
  2. Step 2: Convert to fraction form
    412,672.54/569,607.12 = 267,473.38/x
  3. Step 3: Cross multiply
    412,672.54x = 569,607.12 × 267,473.38
  4. Step 4: Simplify right side
    412,672.54x = 152,354,741,658.47
  5. Step 5: Solve for x
    x = 152,354,741,658.47/412,672.54
  6. Step 6: Final answer
    x = 369,190.40

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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.