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Finding the Fourth Proportional to 293,768.92, 405,407.10 and 159,641.56

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Solution

The fourth proportional to 293,768.92, 405,407.10 and 159,641.56 is: 220,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,768.92 : 405,407.10 = 159,641.56 : x
  2. Step 2: Convert to fraction form
    293,768.92/405,407.10 = 159,641.56/x
  3. Step 3: Cross multiply
    293,768.92x = 405,407.10 × 159,641.56
  4. Step 4: Simplify right side
    293,768.92x = 64,719,821,879.08
  5. Step 5: Solve for x
    x = 64,719,821,879.08/293,768.92
  6. Step 6: Final answer
    x = 220,308.61

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1.5x scale

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.