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Finding the Fourth Proportional to 542,162.76, 748,213.38 and 300,471.72

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Solution

The fourth proportional to 542,162.76, 748,213.38 and 300,471.72 is: 414,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,162.76 : 748,213.38 = 300,471.72 : x
  2. Step 2: Convert to fraction form
    542,162.76/748,213.38 = 300,471.72/x
  3. Step 3: Cross multiply
    542,162.76x = 748,213.38 × 300,471.72
  4. Step 4: Simplify right side
    542,162.76x = 224,816,961,215.61
  5. Step 5: Solve for x
    x = 224,816,961,215.61/542,162.76
  6. Step 6: Final answer
    x = 414,666.92

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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.