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Finding the Fourth Proportional to 542,701.14, 814,175.72 and 187,714.86

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Solution

The fourth proportional to 542,701.14, 814,175.72 and 187,714.86 is: 281,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,701.14 : 814,175.72 = 187,714.86 : x
  2. Step 2: Convert to fraction form
    542,701.14/814,175.72 = 187,714.86/x
  3. Step 3: Cross multiply
    542,701.14x = 814,175.72 × 187,714.86
  4. Step 4: Simplify right side
    542,701.14x = 152,832,881,295.20
  5. Step 5: Solve for x
    x = 152,832,881,295.20/542,701.14
  6. Step 6: Final answer
    x = 281,615.18

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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.