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Finding the Fourth Proportional to 471,713.26, 650,963.85 and 256,854.85

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Solution

The fourth proportional to 471,713.26, 650,963.85 and 256,854.85 is: 354,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.26 : 650,963.85 = 256,854.85 : x
  2. Step 2: Convert to fraction form
    471,713.26/650,963.85 = 256,854.85/x
  3. Step 3: Cross multiply
    471,713.26x = 650,963.85 × 256,854.85
  4. Step 4: Simplify right side
    471,713.26x = 167,203,222,047.17
  5. Step 5: Solve for x
    x = 167,203,222,047.17/471,713.26
  6. Step 6: Final answer
    x = 354,459.45

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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.