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Finding the Fourth Proportional to 475,175.70, 655,742.43 and 284,189.09

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Solution

The fourth proportional to 475,175.70, 655,742.43 and 284,189.09 is: 392,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,175.70 : 655,742.43 = 284,189.09 : x
  2. Step 2: Convert to fraction form
    475,175.70/655,742.43 = 284,189.09/x
  3. Step 3: Cross multiply
    475,175.70x = 655,742.43 × 284,189.09
  4. Step 4: Simplify right side
    475,175.70x = 186,354,841,177.38
  5. Step 5: Solve for x
    x = 186,354,841,177.38/475,175.70
  6. Step 6: Final answer
    x = 392,180.92

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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.