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Finding the Fourth Proportional to 275,335.72, 413,046.78 and 117,565

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Solution

The fourth proportional to 275,335.72, 413,046.78 and 117,565 is: 176,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,335.72 : 413,046.78 = 117,565 : x
  2. Step 2: Convert to fraction form
    275,335.72/413,046.78 = 117,565/x
  3. Step 3: Cross multiply
    275,335.72x = 413,046.78 × 117,565
  4. Step 4: Simplify right side
    275,335.72x = 48,559,844,690.70
  5. Step 5: Solve for x
    x = 48,559,844,690.70/275,335.72
  6. Step 6: Final answer
    x = 176,365.95

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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.