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Finding the Fourth Proportional to 432,073.20, 648,109.80 and 327,097.20

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Solution

The fourth proportional to 432,073.20, 648,109.80 and 327,097.20 is: 490,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,073.20 : 648,109.80 = 327,097.20 : x
  2. Step 2: Convert to fraction form
    432,073.20/648,109.80 = 327,097.20/x
  3. Step 3: Cross multiply
    432,073.20x = 648,109.80 × 327,097.20
  4. Step 4: Simplify right side
    432,073.20x = 211,994,900,872.56
  5. Step 5: Solve for x
    x = 211,994,900,872.56/432,073.20
  6. Step 6: Final answer
    x = 490,645.80

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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.