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Finding the Fourth Proportional to 416,652.43, 574,961.39 and 261,683.74

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Solution

The fourth proportional to 416,652.43, 574,961.39 and 261,683.74 is: 361,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,652.43 : 574,961.39 = 261,683.74 : x
  2. Step 2: Convert to fraction form
    416,652.43/574,961.39 = 261,683.74/x
  3. Step 3: Cross multiply
    416,652.43x = 574,961.39 × 261,683.74
  4. Step 4: Simplify right side
    416,652.43x = 150,458,045,665.32
  5. Step 5: Solve for x
    x = 150,458,045,665.32/416,652.43
  6. Step 6: Final answer
    x = 361,111.65

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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.