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Finding the Fourth Proportional to 381,720.80, 572,799.90 and 145,233.20

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Solution

The fourth proportional to 381,720.80, 572,799.90 and 145,233.20 is: 217,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,720.80 : 572,799.90 = 145,233.20 : x
  2. Step 2: Convert to fraction form
    381,720.80/572,799.90 = 145,233.20/x
  3. Step 3: Cross multiply
    381,720.80x = 572,799.90 × 145,233.20
  4. Step 4: Simplify right side
    381,720.80x = 83,189,562,436.68
  5. Step 5: Solve for x
    x = 83,189,562,436.68/381,720.80
  6. Step 6: Final answer
    x = 217,933.01

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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.