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Finding the Fourth Proportional to 342,847.20, 514,270.80 and 156,223.20

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Solution

The fourth proportional to 342,847.20, 514,270.80 and 156,223.20 is: 234,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,847.20 : 514,270.80 = 156,223.20 : x
  2. Step 2: Convert to fraction form
    342,847.20/514,270.80 = 156,223.20/x
  3. Step 3: Cross multiply
    342,847.20x = 514,270.80 × 156,223.20
  4. Step 4: Simplify right side
    342,847.20x = 80,341,030,042.56
  5. Step 5: Solve for x
    x = 80,341,030,042.56/342,847.20
  6. Step 6: Final answer
    x = 234,334.80

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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.