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Finding the Fourth Proportional to 542,736.24, 748,287.78 and 387,872.64

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Solution

The fourth proportional to 542,736.24, 748,287.78 and 387,872.64 is: 534,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,736.24 : 748,287.78 = 387,872.64 : x
  2. Step 2: Convert to fraction form
    542,736.24/748,287.78 = 387,872.64/x
  3. Step 3: Cross multiply
    542,736.24x = 748,287.78 × 387,872.64
  4. Step 4: Simplify right side
    542,736.24x = 290,240,356,708.34
  5. Step 5: Solve for x
    x = 290,240,356,708.34/542,736.24
  6. Step 6: Final answer
    x = 534,772.39

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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.