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Finding the Fourth Proportional to 471,414.44, 650,539.46 and 256,549.89

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Solution

The fourth proportional to 471,414.44, 650,539.46 and 256,549.89 is: 354,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,414.44 : 650,539.46 = 256,549.89 : x
  2. Step 2: Convert to fraction form
    471,414.44/650,539.46 = 256,549.89/x
  3. Step 3: Cross multiply
    471,414.44x = 650,539.46 × 256,549.89
  4. Step 4: Simplify right side
    471,414.44x = 166,895,826,903.66
  5. Step 5: Solve for x
    x = 166,895,826,903.66/471,414.44
  6. Step 6: Final answer
    x = 354,032.06

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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.