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Finding the Fourth Proportional to 382,114.17, 527,275.65 and 220,944.81

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Solution

The fourth proportional to 382,114.17, 527,275.65 and 220,944.81 is: 304,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,114.17 : 527,275.65 = 220,944.81 : x
  2. Step 2: Convert to fraction form
    382,114.17/527,275.65 = 220,944.81/x
  3. Step 3: Cross multiply
    382,114.17x = 527,275.65 × 220,944.81
  4. Step 4: Simplify right side
    382,114.17x = 116,498,818,306.88
  5. Step 5: Solve for x
    x = 116,498,818,306.88/382,114.17
  6. Step 6: Final answer
    x = 304,879.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.