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Finding the Fourth Proportional to 490,026.97, 735,091.31 and 135,041.05

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Solution

The fourth proportional to 490,026.97, 735,091.31 and 135,041.05 is: 202,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,026.97 : 735,091.31 = 135,041.05 : x
  2. Step 2: Convert to fraction form
    490,026.97/735,091.31 = 135,041.05/x
  3. Step 3: Cross multiply
    490,026.97x = 735,091.31 × 135,041.05
  4. Step 4: Simplify right side
    490,026.97x = 99,267,502,348.28
  5. Step 5: Solve for x
    x = 99,267,502,348.28/490,026.97
  6. Step 6: Final answer
    x = 202,575.59

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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.