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Finding the Fourth Proportional to 432,852.10, 649,278.15 and 327,876.10

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Solution

The fourth proportional to 432,852.10, 649,278.15 and 327,876.10 is: 491,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,852.10 : 649,278.15 = 327,876.10 : x
  2. Step 2: Convert to fraction form
    432,852.10/649,278.15 = 327,876.10/x
  3. Step 3: Cross multiply
    432,852.10x = 649,278.15 × 327,876.10
  4. Step 4: Simplify right side
    432,852.10x = 212,882,787,637.22
  5. Step 5: Solve for x
    x = 212,882,787,637.22/432,852.10
  6. Step 6: Final answer
    x = 491,814.15

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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.