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Finding the Fourth Proportional to 322,520.32, 483,781.38 and 97,882.48

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Solution

The fourth proportional to 322,520.32, 483,781.38 and 97,882.48 is: 146,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,520.32 : 483,781.38 = 97,882.48 : x
  2. Step 2: Convert to fraction form
    322,520.32/483,781.38 = 97,882.48/x
  3. Step 3: Cross multiply
    322,520.32x = 483,781.38 × 97,882.48
  4. Step 4: Simplify right side
    322,520.32x = 47,353,721,252.22
  5. Step 5: Solve for x
    x = 47,353,721,252.22/322,520.32
  6. Step 6: Final answer
    x = 146,823.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.