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Finding the Fourth Proportional to 542,713.47, 748,999.31 and 301,043.18

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Solution

The fourth proportional to 542,713.47, 748,999.31 and 301,043.18 is: 415,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,713.47 : 748,999.31 = 301,043.18 : x
  2. Step 2: Convert to fraction form
    542,713.47/748,999.31 = 301,043.18/x
  3. Step 3: Cross multiply
    542,713.47x = 748,999.31 × 301,043.18
  4. Step 4: Simplify right side
    542,713.47x = 225,481,134,467.49
  5. Step 5: Solve for x
    x = 225,481,134,467.49/542,713.47
  6. Step 6: Final answer
    x = 415,469.95

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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.