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Finding the Fourth Proportional to 490,229.80, 735,345.28 and 153,272.22

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Solution

The fourth proportional to 490,229.80, 735,345.28 and 153,272.22 is: 229,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,229.80 : 735,345.28 = 153,272.22 : x
  2. Step 2: Convert to fraction form
    490,229.80/735,345.28 = 153,272.22/x
  3. Step 3: Cross multiply
    490,229.80x = 735,345.28 × 153,272.22
  4. Step 4: Simplify right side
    490,229.80x = 112,708,002,765.76
  5. Step 5: Solve for x
    x = 112,708,002,765.76/490,229.80
  6. Step 6: Final answer
    x = 229,908.51

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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.