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Finding the Fourth Proportional to 475,171.49, 655,736.64 and 284,184.88

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Solution

The fourth proportional to 475,171.49, 655,736.64 and 284,184.88 is: 392,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,171.49 : 655,736.64 = 284,184.88 : x
  2. Step 2: Convert to fraction form
    475,171.49/655,736.64 = 284,184.88/x
  3. Step 3: Cross multiply
    475,171.49x = 655,736.64 × 284,184.88
  4. Step 4: Simplify right side
    475,171.49x = 186,350,438,350.00
  5. Step 5: Solve for x
    x = 186,350,438,350.00/475,171.49
  6. Step 6: Final answer
    x = 392,175.12

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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.