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Finding the Fourth Proportional to 389,761.80, 584,837.10 and 221,411.40

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Solution

The fourth proportional to 389,761.80, 584,837.10 and 221,411.40 is: 332,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,761.80 : 584,837.10 = 221,411.40 : x
  2. Step 2: Convert to fraction form
    389,761.80/584,837.10 = 221,411.40/x
  3. Step 3: Cross multiply
    389,761.80x = 584,837.10 × 221,411.40
  4. Step 4: Simplify right side
    389,761.80x = 129,489,601,082.94
  5. Step 5: Solve for x
    x = 129,489,601,082.94/389,761.80
  6. Step 6: Final answer
    x = 332,227.53

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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.