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Finding the Fourth Proportional to 497,229.52, 745,844.30 and 164,805.52

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Solution

The fourth proportional to 497,229.52, 745,844.30 and 164,805.52 is: 247,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,229.52 : 745,844.30 = 164,805.52 : x
  2. Step 2: Convert to fraction form
    497,229.52/745,844.30 = 164,805.52/x
  3. Step 3: Cross multiply
    497,229.52x = 745,844.30 × 164,805.52
  4. Step 4: Simplify right side
    497,229.52x = 122,919,257,700.54
  5. Step 5: Solve for x
    x = 122,919,257,700.54/497,229.52
  6. Step 6: Final answer
    x = 247,208.29

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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.