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Finding the Fourth Proportional to 497,230.52, 745,845.80 and 164,806.52

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Solution

The fourth proportional to 497,230.52, 745,845.80 and 164,806.52 is: 247,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,230.52 : 745,845.80 = 164,806.52 : x
  2. Step 2: Convert to fraction form
    497,230.52/745,845.80 = 164,806.52/x
  3. Step 3: Cross multiply
    497,230.52x = 745,845.80 × 164,806.52
  4. Step 4: Simplify right side
    497,230.52x = 122,920,250,754.62
  5. Step 5: Solve for x
    x = 122,920,250,754.62/497,230.52
  6. Step 6: Final answer
    x = 247,209.79

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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.