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Finding the Fourth Proportional to 471,449.52, 650,616.30 and 256,597.38

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Solution

The fourth proportional to 471,449.52, 650,616.30 and 256,597.38 is: 354,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,449.52 : 650,616.30 = 256,597.38 : x
  2. Step 2: Convert to fraction form
    471,449.52/650,616.30 = 256,597.38/x
  3. Step 3: Cross multiply
    471,449.52x = 650,616.30 × 256,597.38
  4. Step 4: Simplify right side
    471,449.52x = 166,946,437,965.29
  5. Step 5: Solve for x
    x = 166,946,437,965.29/471,449.52
  6. Step 6: Final answer
    x = 354,113.07

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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.