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Finding the Fourth Proportional to 416,604.89, 574,961.50 and 235,328.50

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Solution

The fourth proportional to 416,604.89, 574,961.50 and 235,328.50 is: 324,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,604.89 : 574,961.50 = 235,328.50 : x
  2. Step 2: Convert to fraction form
    416,604.89/574,961.50 = 235,328.50/x
  3. Step 3: Cross multiply
    416,604.89x = 574,961.50 × 235,328.50
  4. Step 4: Simplify right side
    416,604.89x = 135,304,825,508.45
  5. Step 5: Solve for x
    x = 135,304,825,508.45/416,604.89
  6. Step 6: Final answer
    x = 324,779.74

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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.