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Finding the Fourth Proportional to 542,711.45, 814,106.06 and 143,348.24

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Solution

The fourth proportional to 542,711.45, 814,106.06 and 143,348.24 is: 215,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,711.45 : 814,106.06 = 143,348.24 : x
  2. Step 2: Convert to fraction form
    542,711.45/814,106.06 = 143,348.24/x
  3. Step 3: Cross multiply
    542,711.45x = 814,106.06 × 143,348.24
  4. Step 4: Simplify right side
    542,711.45x = 116,700,670,874.33
  5. Step 5: Solve for x
    x = 116,700,670,874.33/542,711.45
  6. Step 6: Final answer
    x = 215,032.63

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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.