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Finding the Fourth Proportional to 381,697.40, 572,546.10 and 241,614.20

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Solution

The fourth proportional to 381,697.40, 572,546.10 and 241,614.20 is: 362,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.40 : 572,546.10 = 241,614.20 : x
  2. Step 2: Convert to fraction form
    381,697.40/572,546.10 = 241,614.20/x
  3. Step 3: Cross multiply
    381,697.40x = 572,546.10 × 241,614.20
  4. Step 4: Simplify right side
    381,697.40x = 138,335,267,914.62
  5. Step 5: Solve for x
    x = 138,335,267,914.62/381,697.40
  6. Step 6: Final answer
    x = 362,421.30

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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.