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Finding the Fourth Proportional to 542,542.14, 813,646.98 and 375,138.22

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Solution

The fourth proportional to 542,542.14, 813,646.98 and 375,138.22 is: 562,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,542.14 : 813,646.98 = 375,138.22 : x
  2. Step 2: Convert to fraction form
    542,542.14/813,646.98 = 375,138.22/x
  3. Step 3: Cross multiply
    542,542.14x = 813,646.98 × 375,138.22
  4. Step 4: Simplify right side
    542,542.14x = 305,230,079,785.58
  5. Step 5: Solve for x
    x = 305,230,079,785.58/542,542.14
  6. Step 6: Final answer
    x = 562,592.39

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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.