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Finding the Fourth Proportional to 542,649.11, 814,053.86 and 187,567.79

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Solution

The fourth proportional to 542,649.11, 814,053.86 and 187,567.79 is: 281,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,649.11 : 814,053.86 = 187,567.79 : x
  2. Step 2: Convert to fraction form
    542,649.11/814,053.86 = 187,567.79/x
  3. Step 3: Cross multiply
    542,649.11x = 814,053.86 × 187,567.79
  4. Step 4: Simplify right side
    542,649.11x = 152,690,285,965.22
  5. Step 5: Solve for x
    x = 152,690,285,965.22/542,649.11
  6. Step 6: Final answer
    x = 281,379.41

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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.