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Finding the Fourth Proportional to 490,233.25, 735,392.23 and 135,247.27

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Solution

The fourth proportional to 490,233.25, 735,392.23 and 135,247.27 is: 202,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,233.25 : 735,392.23 = 135,247.27 : x
  2. Step 2: Convert to fraction form
    490,233.25/735,392.23 = 135,247.27/x
  3. Step 3: Cross multiply
    490,233.25x = 735,392.23 × 135,247.27
  4. Step 4: Simplify right side
    490,233.25x = 99,459,791,449.74
  5. Step 5: Solve for x
    x = 99,459,791,449.74/490,233.25
  6. Step 6: Final answer
    x = 202,882.59

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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.