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Finding the Fourth Proportional to 432,823.40, 649,235.10 and 273,391.10

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Solution

The fourth proportional to 432,823.40, 649,235.10 and 273,391.10 is: 410,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,823.40 : 649,235.10 = 273,391.10 : x
  2. Step 2: Convert to fraction form
    432,823.40/649,235.10 = 273,391.10/x
  3. Step 3: Cross multiply
    432,823.40x = 649,235.10 × 273,391.10
  4. Step 4: Simplify right side
    432,823.40x = 177,495,098,147.61
  5. Step 5: Solve for x
    x = 177,495,098,147.61/432,823.40
  6. Step 6: Final answer
    x = 410,086.65

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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.