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Finding the Fourth Proportional to 273,546.74, 410,315.85 and 140,350.13

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Solution

The fourth proportional to 273,546.74, 410,315.85 and 140,350.13 is: 210,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,546.74 : 410,315.85 = 140,350.13 : x
  2. Step 2: Convert to fraction form
    273,546.74/410,315.85 = 140,350.13/x
  3. Step 3: Cross multiply
    273,546.74x = 410,315.85 × 140,350.13
  4. Step 4: Simplify right side
    273,546.74x = 57,587,882,888.56
  5. Step 5: Solve for x
    x = 57,587,882,888.56/273,546.74
  6. Step 6: Final answer
    x = 210,523.01

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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.