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Finding the Fourth Proportional to 297,344.52, 445,934.77 and 97,644.08

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Solution

The fourth proportional to 297,344.52, 445,934.77 and 97,644.08 is: 146,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,344.52 : 445,934.77 = 97,644.08 : x
  2. Step 2: Convert to fraction form
    297,344.52/445,934.77 = 97,644.08/x
  3. Step 3: Cross multiply
    297,344.52x = 445,934.77 × 97,644.08
  4. Step 4: Simplify right side
    297,344.52x = 43,542,891,227.39
  5. Step 5: Solve for x
    x = 43,542,891,227.39/297,344.52
  6. Step 6: Final answer
    x = 146,439.19

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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.