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Finding the Fourth Proportional to 411,475.80, 617,213.70 and 145,234.20

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Solution

The fourth proportional to 411,475.80, 617,213.70 and 145,234.20 is: 217,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475.80 : 617,213.70 = 145,234.20 : x
  2. Step 2: Convert to fraction form
    411,475.80/617,213.70 = 145,234.20/x
  3. Step 3: Cross multiply
    411,475.80x = 617,213.70 × 145,234.20
  4. Step 4: Simplify right side
    411,475.80x = 89,640,537,948.54
  5. Step 5: Solve for x
    x = 89,640,537,948.54/411,475.80
  6. Step 6: Final answer
    x = 217,851.30

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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.