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Finding the Fourth Proportional to 433,248.80, 650,192.56 and 205,545.28

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Solution

The fourth proportional to 433,248.80, 650,192.56 and 205,545.28 is: 308,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,248.80 : 650,192.56 = 205,545.28 : x
  2. Step 2: Convert to fraction form
    433,248.80/650,192.56 = 205,545.28/x
  3. Step 3: Cross multiply
    433,248.80x = 650,192.56 × 205,545.28
  4. Step 4: Simplify right side
    433,248.80x = 133,644,011,799.12
  5. Step 5: Solve for x
    x = 133,644,011,799.12/433,248.80
  6. Step 6: Final answer
    x = 308,469.43

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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.