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Finding the Fourth Proportional to 542,939.92, 814,461.72 and 168,862.48

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Solution

The fourth proportional to 542,939.92, 814,461.72 and 168,862.48 is: 253,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,939.92 : 814,461.72 = 168,862.48 : x
  2. Step 2: Convert to fraction form
    542,939.92/814,461.72 = 168,862.48/x
  3. Step 3: Cross multiply
    542,939.92x = 814,461.72 × 168,862.48
  4. Step 4: Simplify right side
    542,939.92x = 137,532,025,904.27
  5. Step 5: Solve for x
    x = 137,532,025,904.27/542,939.92
  6. Step 6: Final answer
    x = 253,309.84

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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.