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Finding the Fourth Proportional to 322,094.88, 482,951.52 and 97,387.20

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Solution

The fourth proportional to 322,094.88, 482,951.52 and 97,387.20 is: 146,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,094.88 : 482,951.52 = 97,387.20 : x
  2. Step 2: Convert to fraction form
    322,094.88/482,951.52 = 97,387.20/x
  3. Step 3: Cross multiply
    322,094.88x = 482,951.52 × 97,387.20
  4. Step 4: Simplify right side
    322,094.88x = 47,033,296,268.54
  5. Step 5: Solve for x
    x = 47,033,296,268.54/322,094.88
  6. Step 6: Final answer
    x = 146,023.11

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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.