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Finding the Fourth Proportional to 542,299.38, 748,417.98 and 300,657.78

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Solution

The fourth proportional to 542,299.38, 748,417.98 and 300,657.78 is: 414,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,299.38 : 748,417.98 = 300,657.78 : x
  2. Step 2: Convert to fraction form
    542,299.38/748,417.98 = 300,657.78/x
  3. Step 3: Cross multiply
    542,299.38x = 748,417.98 × 300,657.78
  4. Step 4: Simplify right side
    542,299.38x = 225,017,688,378.88
  5. Step 5: Solve for x
    x = 225,017,688,378.88/542,299.38
  6. Step 6: Final answer
    x = 414,932.59

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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.