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Finding the Fourth Proportional to 381,693.40, 572,540.10 and 241,610.20

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Solution

The fourth proportional to 381,693.40, 572,540.10 and 241,610.20 is: 362,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,693.40 : 572,540.10 = 241,610.20 : x
  2. Step 2: Convert to fraction form
    381,693.40/572,540.10 = 241,610.20/x
  3. Step 3: Cross multiply
    381,693.40x = 572,540.10 × 241,610.20
  4. Step 4: Simplify right side
    381,693.40x = 138,331,528,069.02
  5. Step 5: Solve for x
    x = 138,331,528,069.02/381,693.40
  6. Step 6: Final answer
    x = 362,415.30

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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.