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Finding the Fourth Proportional to 416,118.38, 574,243.17 and 234,868.33

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Solution

The fourth proportional to 416,118.38, 574,243.17 and 234,868.33 is: 324,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,118.38 : 574,243.17 = 234,868.33 : x
  2. Step 2: Convert to fraction form
    416,118.38/574,243.17 = 234,868.33/x
  3. Step 3: Cross multiply
    416,118.38x = 574,243.17 × 234,868.33
  4. Step 4: Simplify right side
    416,118.38x = 134,871,531,480.59
  5. Step 5: Solve for x
    x = 134,871,531,480.59/416,118.38
  6. Step 6: Final answer
    x = 324,118.18

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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.