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Finding the Fourth Proportional to 416,261.68, 574,441.08 and 225,275.11

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Solution

The fourth proportional to 416,261.68, 574,441.08 and 225,275.11 is: 310,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,261.68 : 574,441.08 = 225,275.11 : x
  2. Step 2: Convert to fraction form
    416,261.68/574,441.08 = 225,275.11/x
  3. Step 3: Cross multiply
    416,261.68x = 574,441.08 × 225,275.11
  4. Step 4: Simplify right side
    416,261.68x = 129,407,277,485.52
  5. Step 5: Solve for x
    x = 129,407,277,485.52/416,261.68
  6. Step 6: Final answer
    x = 310,879.63

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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.