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Finding the Fourth Proportional to 322,499.17, 483,749.82 and 97,861.47

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Solution

The fourth proportional to 322,499.17, 483,749.82 and 97,861.47 is: 146,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,499.17 : 483,749.82 = 97,861.47 : x
  2. Step 2: Convert to fraction form
    322,499.17/483,749.82 = 97,861.47/x
  3. Step 3: Cross multiply
    322,499.17x = 483,749.82 × 97,861.47
  4. Step 4: Simplify right side
    322,499.17x = 47,340,468,497.44
  5. Step 5: Solve for x
    x = 47,340,468,497.44/322,499.17
  6. Step 6: Final answer
    x = 146,792.53

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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.