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Finding the Fourth Proportional to 284,159.20, 426,469.20 and 274,943.20

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Solution

The fourth proportional to 284,159.20, 426,469.20 and 274,943.20 is: 412,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,159.20 : 426,469.20 = 274,943.20 : x
  2. Step 2: Convert to fraction form
    284,159.20/426,469.20 = 274,943.20/x
  3. Step 3: Cross multiply
    284,159.20x = 426,469.20 × 274,943.20
  4. Step 4: Simplify right side
    284,159.20x = 117,254,806,549.44
  5. Step 5: Solve for x
    x = 117,254,806,549.44/284,159.20
  6. Step 6: Final answer
    x = 412,637.73

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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.