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Finding the Fourth Proportional to 475,160.92, 655,722.07 and 284,174.31

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Solution

The fourth proportional to 475,160.92, 655,722.07 and 284,174.31 is: 392,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,160.92 : 655,722.07 = 284,174.31 : x
  2. Step 2: Convert to fraction form
    475,160.92/655,722.07 = 284,174.31/x
  3. Step 3: Cross multiply
    475,160.92x = 655,722.07 × 284,174.31
  4. Step 4: Simplify right side
    475,160.92x = 186,339,366,794.02
  5. Step 5: Solve for x
    x = 186,339,366,794.02/475,160.92
  6. Step 6: Final answer
    x = 392,160.55

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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.