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Finding the Fourth Proportional to 472,049.82, 707,444.15 and 172,248.57

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Solution

The fourth proportional to 472,049.82, 707,444.15 and 172,248.57 is: 258,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,049.82 : 707,444.15 = 172,248.57 : x
  2. Step 2: Convert to fraction form
    472,049.82/707,444.15 = 172,248.57/x
  3. Step 3: Cross multiply
    472,049.82x = 707,444.15 × 172,248.57
  4. Step 4: Simplify right side
    472,049.82x = 121,856,242,331.12
  5. Step 5: Solve for x
    x = 121,856,242,331.12/472,049.82
  6. Step 6: Final answer
    x = 258,142.76

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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.