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Finding the Fourth Proportional to 416,220.91, 574,410.87 and 234,963.55

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Solution

The fourth proportional to 416,220.91, 574,410.87 and 234,963.55 is: 324,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,220.91 : 574,410.87 = 234,963.55 : x
  2. Step 2: Convert to fraction form
    416,220.91/574,410.87 = 234,963.55/x
  3. Step 3: Cross multiply
    416,220.91x = 574,410.87 × 234,963.55
  4. Step 4: Simplify right side
    416,220.91x = 134,965,617,173.79
  5. Step 5: Solve for x
    x = 134,965,617,173.79/416,220.91
  6. Step 6: Final answer
    x = 324,264.38

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Why These Related Problems?

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