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Finding the Fourth Proportional to 490,407.30, 676,782 and 275,546.70

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Solution

The fourth proportional to 490,407.30, 676,782 and 275,546.70 is: 380,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,407.30 : 676,782 = 275,546.70 : x
  2. Step 2: Convert to fraction form
    490,407.30/676,782 = 275,546.70/x
  3. Step 3: Cross multiply
    490,407.30x = 676,782 × 275,546.70
  4. Step 4: Simplify right side
    490,407.30x = 186,485,046,719.40
  5. Step 5: Solve for x
    x = 186,485,046,719.40/490,407.30
  6. Step 6: Final answer
    x = 380,265.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.