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Finding the Fourth Proportional to 475,159.92, 655,720.69 and 284,173.31

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Solution

The fourth proportional to 475,159.92, 655,720.69 and 284,173.31 is: 392,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,159.92 : 655,720.69 = 284,173.31 : x
  2. Step 2: Convert to fraction form
    475,159.92/655,720.69 = 284,173.31/x
  3. Step 3: Cross multiply
    475,159.92x = 655,720.69 × 284,173.31
  4. Step 4: Simplify right side
    475,159.92x = 186,338,321,173.72
  5. Step 5: Solve for x
    x = 186,338,321,173.72/475,159.92
  6. Step 6: Final answer
    x = 392,159.17

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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.