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Finding the Fourth Proportional to 397,645.62, 548,734.49 and 216,358.24

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Solution

The fourth proportional to 397,645.62, 548,734.49 and 216,358.24 is: 298,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,645.62 : 548,734.49 = 216,358.24 : x
  2. Step 2: Convert to fraction form
    397,645.62/548,734.49 = 216,358.24/x
  3. Step 3: Cross multiply
    397,645.62x = 548,734.49 × 216,358.24
  4. Step 4: Simplify right side
    397,645.62x = 118,723,228,483.70
  5. Step 5: Solve for x
    x = 118,723,228,483.70/397,645.62
  6. Step 6: Final answer
    x = 298,565.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.