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Finding the Fourth Proportional to 404,467.20, 558,275.76 and 234,756

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Solution

The fourth proportional to 404,467.20, 558,275.76 and 234,756 is: 324,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,467.20 : 558,275.76 = 234,756 : x
  2. Step 2: Convert to fraction form
    404,467.20/558,275.76 = 234,756/x
  3. Step 3: Cross multiply
    404,467.20x = 558,275.76 × 234,756
  4. Step 4: Simplify right side
    404,467.20x = 131,058,584,314.56
  5. Step 5: Solve for x
    x = 131,058,584,314.56/404,467.20
  6. Step 6: Final answer
    x = 324,027.72

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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.