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Finding the Fourth Proportional to 361,472.14, 542,883.56 and 318,210.41

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Solution

The fourth proportional to 361,472.14, 542,883.56 and 318,210.41 is: 477,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.14 : 542,883.56 = 318,210.41 : x
  2. Step 2: Convert to fraction form
    361,472.14/542,883.56 = 318,210.41/x
  3. Step 3: Cross multiply
    361,472.14x = 542,883.56 × 318,210.41
  4. Step 4: Simplify right side
    361,472.14x = 172,751,199,976.02
  5. Step 5: Solve for x
    x = 172,751,199,976.02/361,472.14
  6. Step 6: Final answer
    x = 477,910.14

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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.