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Finding the Fourth Proportional to 416,331.54, 574,541.73 and 225,349.02

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Solution

The fourth proportional to 416,331.54, 574,541.73 and 225,349.02 is: 310,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,331.54 : 574,541.73 = 225,349.02 : x
  2. Step 2: Convert to fraction form
    416,331.54/574,541.73 = 225,349.02/x
  3. Step 3: Cross multiply
    416,331.54x = 574,541.73 × 225,349.02
  4. Step 4: Simplify right side
    416,331.54x = 129,472,415,804.61
  5. Step 5: Solve for x
    x = 129,472,415,804.61/416,331.54
  6. Step 6: Final answer
    x = 310,983.92

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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.