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Finding the Fourth Proportional to 421,446.70, 632,170.05 and 279,729.10

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Solution

The fourth proportional to 421,446.70, 632,170.05 and 279,729.10 is: 419,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,446.70 : 632,170.05 = 279,729.10 : x
  2. Step 2: Convert to fraction form
    421,446.70/632,170.05 = 279,729.10/x
  3. Step 3: Cross multiply
    421,446.70x = 632,170.05 × 279,729.10
  4. Step 4: Simplify right side
    421,446.70x = 176,836,359,133.46
  5. Step 5: Solve for x
    x = 176,836,359,133.46/421,446.70
  6. Step 6: Final answer
    x = 419,593.65

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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.