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Finding the Fourth Proportional to 422,726.82, 633,905.91 and 159,886.50

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Solution

The fourth proportional to 422,726.82, 633,905.91 and 159,886.50 is: 239,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,726.82 : 633,905.91 = 159,886.50 : x
  2. Step 2: Convert to fraction form
    422,726.82/633,905.91 = 159,886.50/x
  3. Step 3: Cross multiply
    422,726.82x = 633,905.91 × 159,886.50
  4. Step 4: Simplify right side
    422,726.82x = 101,352,997,279.22
  5. Step 5: Solve for x
    x = 101,352,997,279.22/422,726.82
  6. Step 6: Final answer
    x = 239,760.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.