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Finding the Fourth Proportional to 475,114.16, 655,742.04 and 284,148.56

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Solution

The fourth proportional to 475,114.16, 655,742.04 and 284,148.56 is: 392,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,114.16 : 655,742.04 = 284,148.56 : x
  2. Step 2: Convert to fraction form
    475,114.16/655,742.04 = 284,148.56/x
  3. Step 3: Cross multiply
    475,114.16x = 655,742.04 × 284,148.56
  4. Step 4: Simplify right side
    475,114.16x = 186,328,156,397.46
  5. Step 5: Solve for x
    x = 186,328,156,397.46/475,114.16
  6. Step 6: Final answer
    x = 392,175.55

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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.