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Finding the Fourth Proportional to 472,057.80, 651,442.68 and 281,079.24

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Solution

The fourth proportional to 472,057.80, 651,442.68 and 281,079.24 is: 387,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,057.80 : 651,442.68 = 281,079.24 : x
  2. Step 2: Convert to fraction form
    472,057.80/651,442.68 = 281,079.24/x
  3. Step 3: Cross multiply
    472,057.80x = 651,442.68 × 281,079.24
  4. Step 4: Simplify right side
    472,057.80x = 183,107,013,397.96
  5. Step 5: Solve for x
    x = 183,107,013,397.96/472,057.80
  6. Step 6: Final answer
    x = 387,891.09

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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.