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Finding the Fourth Proportional to 293,105.88, 404,494.92 and 165,778.92

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Solution

The fourth proportional to 293,105.88, 404,494.92 and 165,778.92 is: 228,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,105.88 : 404,494.92 = 165,778.92 : x
  2. Step 2: Convert to fraction form
    293,105.88/404,494.92 = 165,778.92/x
  3. Step 3: Cross multiply
    293,105.88x = 404,494.92 × 165,778.92
  4. Step 4: Simplify right side
    293,105.88x = 67,056,730,983.09
  5. Step 5: Solve for x
    x = 67,056,730,983.09/293,105.88
  6. Step 6: Final answer
    x = 228,779.89

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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.