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Finding the Fourth Proportional to 416,551.94, 574,841.98 and 225,565.48

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Solution

The fourth proportional to 416,551.94, 574,841.98 and 225,565.48 is: 311,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,551.94 : 574,841.98 = 225,565.48 : x
  2. Step 2: Convert to fraction form
    416,551.94/574,841.98 = 225,565.48/x
  3. Step 3: Cross multiply
    416,551.94x = 574,841.98 × 225,565.48
  4. Step 4: Simplify right side
    416,551.94x = 129,664,507,142.85
  5. Step 5: Solve for x
    x = 129,664,507,142.85/416,551.94
  6. Step 6: Final answer
    x = 311,280.53

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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.