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Finding the Fourth Proportional to 416,268.96, 574,450.92 and 234,982.45

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Solution

The fourth proportional to 416,268.96, 574,450.92 and 234,982.45 is: 324,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,268.96 : 574,450.92 = 234,982.45 : x
  2. Step 2: Convert to fraction form
    416,268.96/574,450.92 = 234,982.45/x
  3. Step 3: Cross multiply
    416,268.96x = 574,450.92 × 234,982.45
  4. Step 4: Simplify right side
    416,268.96x = 134,985,884,586.35
  5. Step 5: Solve for x
    x = 134,985,884,586.35/416,268.96
  6. Step 6: Final answer
    x = 324,275.65

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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.