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Finding the Fourth Proportional to 348,876.80, 523,315.20 and 112,227.20

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Solution

The fourth proportional to 348,876.80, 523,315.20 and 112,227.20 is: 168,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,876.80 : 523,315.20 = 112,227.20 : x
  2. Step 2: Convert to fraction form
    348,876.80/523,315.20 = 112,227.20/x
  3. Step 3: Cross multiply
    348,876.80x = 523,315.20 × 112,227.20
  4. Step 4: Simplify right side
    348,876.80x = 58,730,199,613.44
  5. Step 5: Solve for x
    x = 58,730,199,613.44/348,876.80
  6. Step 6: Final answer
    x = 168,340.80

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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.