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Finding the Fourth Proportional to 322,597.54, 483,865.02 and 97,959.92

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Solution

The fourth proportional to 322,597.54, 483,865.02 and 97,959.92 is: 146,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,597.54 : 483,865.02 = 97,959.92 : x
  2. Step 2: Convert to fraction form
    322,597.54/483,865.02 = 97,959.92/x
  3. Step 3: Cross multiply
    322,597.54x = 483,865.02 × 97,959.92
  4. Step 4: Simplify right side
    322,597.54x = 47,399,378,650.00
  5. Step 5: Solve for x
    x = 47,399,378,650.00/322,597.54
  6. Step 6: Final answer
    x = 146,930.38

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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.