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Finding the Fourth Proportional to 356,425.20, 534,205.80 and 206,377.20

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Solution

The fourth proportional to 356,425.20, 534,205.80 and 206,377.20 is: 309,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,425.20 : 534,205.80 = 206,377.20 : x
  2. Step 2: Convert to fraction form
    356,425.20/534,205.80 = 206,377.20/x
  3. Step 3: Cross multiply
    356,425.20x = 534,205.80 × 206,377.20
  4. Step 4: Simplify right side
    356,425.20x = 110,247,897,227.76
  5. Step 5: Solve for x
    x = 110,247,897,227.76/356,425.20
  6. Step 6: Final answer
    x = 309,315.66

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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.