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Finding the Fourth Proportional to 471,079.32, 650,083.96 and 256,214.76

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Solution

The fourth proportional to 471,079.32, 650,083.96 and 256,214.76 is: 353,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,079.32 : 650,083.96 = 256,214.76 : x
  2. Step 2: Convert to fraction form
    471,079.32/650,083.96 = 256,214.76/x
  3. Step 3: Cross multiply
    471,079.32x = 650,083.96 × 256,214.76
  4. Step 4: Simplify right side
    471,079.32x = 166,561,105,791.25
  5. Step 5: Solve for x
    x = 166,561,105,791.25/471,079.32
  6. Step 6: Final answer
    x = 353,573.38

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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.