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Finding the Fourth Proportional to 362,079.54, 542,659.68 and 162,391.86

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Solution

The fourth proportional to 362,079.54, 542,659.68 and 162,391.86 is: 243,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,079.54 : 542,659.68 = 162,391.86 : x
  2. Step 2: Convert to fraction form
    362,079.54/542,659.68 = 162,391.86/x
  3. Step 3: Cross multiply
    362,079.54x = 542,659.68 × 162,391.86
  4. Step 4: Simplify right side
    362,079.54x = 88,123,514,782.20
  5. Step 5: Solve for x
    x = 88,123,514,782.20/362,079.54
  6. Step 6: Final answer
    x = 243,381.65

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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.