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Finding the Fourth Proportional to 471,274.39, 650,339.23 and 256,415.31

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Solution

The fourth proportional to 471,274.39, 650,339.23 and 256,415.31 is: 353,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,274.39 : 650,339.23 = 256,415.31 : x
  2. Step 2: Convert to fraction form
    471,274.39/650,339.23 = 256,415.31/x
  3. Step 3: Cross multiply
    471,274.39x = 650,339.23 × 256,415.31
  4. Step 4: Simplify right side
    471,274.39x = 166,756,935,105.35
  5. Step 5: Solve for x
    x = 166,756,935,105.35/471,274.39
  6. Step 6: Final answer
    x = 353,842.56

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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.