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Finding the Fourth Proportional to 542,706.44, 814,098.54 and 143,343.23

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Solution

The fourth proportional to 542,706.44, 814,098.54 and 143,343.23 is: 215,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.44 : 814,098.54 = 143,343.23 : x
  2. Step 2: Convert to fraction form
    542,706.44/814,098.54 = 143,343.23/x
  3. Step 3: Cross multiply
    542,706.44x = 814,098.54 × 143,343.23
  4. Step 4: Simplify right side
    542,706.44x = 116,695,514,261.88
  5. Step 5: Solve for x
    x = 116,695,514,261.88/542,706.44
  6. Step 6: Final answer
    x = 215,025.11

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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.