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Finding the Fourth Proportional to 458,033.30, 686,721.90 and 191,656.70

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Solution

The fourth proportional to 458,033.30, 686,721.90 and 191,656.70 is: 287,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,033.30 : 686,721.90 = 191,656.70 : x
  2. Step 2: Convert to fraction form
    458,033.30/686,721.90 = 191,656.70/x
  3. Step 3: Cross multiply
    458,033.30x = 686,721.90 × 191,656.70
  4. Step 4: Simplify right side
    458,033.30x = 131,614,853,171.73
  5. Step 5: Solve for x
    x = 131,614,853,171.73/458,033.30
  6. Step 6: Final answer
    x = 287,347.78

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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.