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Finding the Fourth Proportional to 490,220.66, 676,399.56 and 286,178.97

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Solution

The fourth proportional to 490,220.66, 676,399.56 and 286,178.97 is: 394,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,220.66 : 676,399.56 = 286,178.97 : x
  2. Step 2: Convert to fraction form
    490,220.66/676,399.56 = 286,178.97/x
  3. Step 3: Cross multiply
    490,220.66x = 676,399.56 × 286,178.97
  4. Step 4: Simplify right side
    490,220.66x = 193,571,329,389.25
  5. Step 5: Solve for x
    x = 193,571,329,389.25/490,220.66
  6. Step 6: Final answer
    x = 394,865.71

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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.