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Finding the Fourth Proportional to 497,221.50, 745,948.89 and 164,797.50

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Solution

The fourth proportional to 497,221.50, 745,948.89 and 164,797.50 is: 247,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,221.50 : 745,948.89 = 164,797.50 : x
  2. Step 2: Convert to fraction form
    497,221.50/745,948.89 = 164,797.50/x
  3. Step 3: Cross multiply
    497,221.50x = 745,948.89 × 164,797.50
  4. Step 4: Simplify right side
    497,221.50x = 122,930,512,199.78
  5. Step 5: Solve for x
    x = 122,930,512,199.78/497,221.50
  6. Step 6: Final answer
    x = 247,234.91

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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.