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Finding the Fourth Proportional to 253,712.80, 380,108.40 and 206,711.20

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Solution

The fourth proportional to 253,712.80, 380,108.40 and 206,711.20 is: 309,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,712.80 : 380,108.40 = 206,711.20 : x
  2. Step 2: Convert to fraction form
    253,712.80/380,108.40 = 206,711.20/x
  3. Step 3: Cross multiply
    253,712.80x = 380,108.40 × 206,711.20
  4. Step 4: Simplify right side
    253,712.80x = 78,572,663,494.08
  5. Step 5: Solve for x
    x = 78,572,663,494.08/253,712.80
  6. Step 6: Final answer
    x = 309,691.37

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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.