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Finding the Fourth Proportional to 487,595.73, 731,463.56 and 150,665.80

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Solution

The fourth proportional to 487,595.73, 731,463.56 and 150,665.80 is: 226,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,595.73 : 731,463.56 = 150,665.80 : x
  2. Step 2: Convert to fraction form
    487,595.73/731,463.56 = 150,665.80/x
  3. Step 3: Cross multiply
    487,595.73x = 731,463.56 × 150,665.80
  4. Step 4: Simplify right side
    487,595.73x = 110,206,541,684.92
  5. Step 5: Solve for x
    x = 110,206,541,684.92/487,595.73
  6. Step 6: Final answer
    x = 226,020.32

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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.