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Finding the Fourth Proportional to 457,505.75, 686,302.97 and 141,877.91

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Solution

The fourth proportional to 457,505.75, 686,302.97 and 141,877.91 is: 212,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,505.75 : 686,302.97 = 141,877.91 : x
  2. Step 2: Convert to fraction form
    457,505.75/686,302.97 = 141,877.91/x
  3. Step 3: Cross multiply
    457,505.75x = 686,302.97 × 141,877.91
  4. Step 4: Simplify right side
    457,505.75x = 97,371,226,869.49
  5. Step 5: Solve for x
    x = 97,371,226,869.49/457,505.75
  6. Step 6: Final answer
    x = 212,830.61

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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.