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Finding the Fourth Proportional to 381,652.20, 572,478.30 and 97,342.20

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Solution

The fourth proportional to 381,652.20, 572,478.30 and 97,342.20 is: 146,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,652.20 : 572,478.30 = 97,342.20 : x
  2. Step 2: Convert to fraction form
    381,652.20/572,478.30 = 97,342.20/x
  3. Step 3: Cross multiply
    381,652.20x = 572,478.30 × 97,342.20
  4. Step 4: Simplify right side
    381,652.20x = 55,726,297,174.26
  5. Step 5: Solve for x
    x = 55,726,297,174.26/381,652.20
  6. Step 6: Final answer
    x = 146,013.30

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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.