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Finding the Fourth Proportional to 295,929.92, 408,383.34 and 159,963.50

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Solution

The fourth proportional to 295,929.92, 408,383.34 and 159,963.50 is: 220,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,929.92 : 408,383.34 = 159,963.50 : x
  2. Step 2: Convert to fraction form
    295,929.92/408,383.34 = 159,963.50/x
  3. Step 3: Cross multiply
    295,929.92x = 408,383.34 × 159,963.50
  4. Step 4: Simplify right side
    295,929.92x = 65,326,428,408.09
  5. Step 5: Solve for x
    x = 65,326,428,408.09/295,929.92
  6. Step 6: Final answer
    x = 220,749.66

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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.