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Finding the Fourth Proportional to 475,755.31, 656,551.34 and 260,882.56

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Solution

The fourth proportional to 475,755.31, 656,551.34 and 260,882.56 is: 360,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,755.31 : 656,551.34 = 260,882.56 : x
  2. Step 2: Convert to fraction form
    475,755.31/656,551.34 = 260,882.56/x
  3. Step 3: Cross multiply
    475,755.31x = 656,551.34 × 260,882.56
  4. Step 4: Simplify right side
    475,755.31x = 171,282,794,350.63
  5. Step 5: Solve for x
    x = 171,282,794,350.63/475,755.31
  6. Step 6: Final answer
    x = 360,022.87

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Why These Related Problems?

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