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Finding the Fourth Proportional to 432,649.04, 649,380.54 and 219,569.90

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Solution

The fourth proportional to 432,649.04, 649,380.54 and 219,569.90 is: 329,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,649.04 : 649,380.54 = 219,569.90 : x
  2. Step 2: Convert to fraction form
    432,649.04/649,380.54 = 219,569.90/x
  3. Step 3: Cross multiply
    432,649.04x = 649,380.54 × 219,569.90
  4. Step 4: Simplify right side
    432,649.04x = 142,584,420,229.75
  5. Step 5: Solve for x
    x = 142,584,420,229.75/432,649.04
  6. Step 6: Final answer
    x = 329,561.39

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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.