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Finding the Fourth Proportional to 542,901.48, 814,352.22 and 168,849.96

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Solution

The fourth proportional to 542,901.48, 814,352.22 and 168,849.96 is: 253,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,901.48 : 814,352.22 = 168,849.96 : x
  2. Step 2: Convert to fraction form
    542,901.48/814,352.22 = 168,849.96/x
  3. Step 3: Cross multiply
    542,901.48x = 814,352.22 × 168,849.96
  4. Step 4: Simplify right side
    542,901.48x = 137,503,339,772.91
  5. Step 5: Solve for x
    x = 137,503,339,772.91/542,901.48
  6. Step 6: Final answer
    x = 253,274.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.