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Finding the Fourth Proportional to 381,763.80, 572,864.40 and 145,276.20

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Solution

The fourth proportional to 381,763.80, 572,864.40 and 145,276.20 is: 217,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,763.80 : 572,864.40 = 145,276.20 : x
  2. Step 2: Convert to fraction form
    381,763.80/572,864.40 = 145,276.20/x
  3. Step 3: Cross multiply
    381,763.80x = 572,864.40 × 145,276.20
  4. Step 4: Simplify right side
    381,763.80x = 83,223,563,147.28
  5. Step 5: Solve for x
    x = 83,223,563,147.28/381,763.80
  6. Step 6: Final answer
    x = 217,997.52

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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.