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Finding the Fourth Proportional to 293,086.30, 404,447.42 and 165,788.32

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Solution

The fourth proportional to 293,086.30, 404,447.42 and 165,788.32 is: 228,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,086.30 : 404,447.42 = 165,788.32 : x
  2. Step 2: Convert to fraction form
    293,086.30/404,447.42 = 165,788.32/x
  3. Step 3: Cross multiply
    293,086.30x = 404,447.42 × 165,788.32
  4. Step 4: Simplify right side
    293,086.30x = 67,052,658,290.13
  5. Step 5: Solve for x
    x = 67,052,658,290.13/293,086.30
  6. Step 6: Final answer
    x = 228,781.28

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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.