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Finding the Fourth Proportional to 490,220.34, 676,399.12 and 286,178.66

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Solution

The fourth proportional to 490,220.34, 676,399.12 and 286,178.66 is: 394,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,220.34 : 676,399.12 = 286,178.66 : x
  2. Step 2: Convert to fraction form
    490,220.34/676,399.12 = 286,178.66/x
  3. Step 3: Cross multiply
    490,220.34x = 676,399.12 × 286,178.66
  4. Step 4: Simplify right side
    490,220.34x = 193,570,993,786.78
  5. Step 5: Solve for x
    x = 193,570,993,786.78/490,220.34
  6. Step 6: Final answer
    x = 394,865.28

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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.