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Finding the Fourth Proportional to 416,616.67, 574,966.40 and 235,361.86

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Solution

The fourth proportional to 416,616.67, 574,966.40 and 235,361.86 is: 324,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,616.67 : 574,966.40 = 235,361.86 : x
  2. Step 2: Convert to fraction form
    416,616.67/574,966.40 = 235,361.86/x
  3. Step 3: Cross multiply
    416,616.67x = 574,966.40 × 235,361.86
  4. Step 4: Simplify right side
    416,616.67x = 135,325,164,093.92
  5. Step 5: Solve for x
    x = 135,325,164,093.92/416,616.67
  6. Step 6: Final answer
    x = 324,819.37

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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.