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Finding the Fourth Proportional to 542,548.56, 748,717.38 and 300,834.12

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Solution

The fourth proportional to 542,548.56, 748,717.38 and 300,834.12 is: 415,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,548.56 : 748,717.38 = 300,834.12 : x
  2. Step 2: Convert to fraction form
    542,548.56/748,717.38 = 300,834.12/x
  3. Step 3: Cross multiply
    542,548.56x = 748,717.38 × 300,834.12
  4. Step 4: Simplify right side
    542,548.56x = 225,239,734,141.01
  5. Step 5: Solve for x
    x = 225,239,734,141.01/542,548.56
  6. Step 6: Final answer
    x = 415,151.29

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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.