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Finding the Fourth Proportional to 490,169.40, 735,254.10 and 135,238.20

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Solution

The fourth proportional to 490,169.40, 735,254.10 and 135,238.20 is: 202,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,169.40 : 735,254.10 = 135,238.20 : x
  2. Step 2: Convert to fraction form
    490,169.40/735,254.10 = 135,238.20/x
  3. Step 3: Cross multiply
    490,169.40x = 735,254.10 × 135,238.20
  4. Step 4: Simplify right side
    490,169.40x = 99,434,441,026.62
  5. Step 5: Solve for x
    x = 99,434,441,026.62/490,169.40
  6. Step 6: Final answer
    x = 202,857.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.