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Finding the Fourth Proportional to 475,167.42, 655,731.06 and 284,180.85

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Solution

The fourth proportional to 475,167.42, 655,731.06 and 284,180.85 is: 392,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,167.42 : 655,731.06 = 284,180.85 : x
  2. Step 2: Convert to fraction form
    475,167.42/655,731.06 = 284,180.85/x
  3. Step 3: Cross multiply
    475,167.42x = 655,731.06 × 284,180.85
  4. Step 4: Simplify right side
    475,167.42x = 186,346,210,002.20
  5. Step 5: Solve for x
    x = 186,346,210,002.20/475,167.42
  6. Step 6: Final answer
    x = 392,169.59

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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.