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Finding the Fourth Proportional to 256,524.14, 353,917.00 and 165,994.64

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Solution

The fourth proportional to 256,524.14, 353,917.00 and 165,994.64 is: 229,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,524.14 : 353,917.00 = 165,994.64 : x
  2. Step 2: Convert to fraction form
    256,524.14/353,917.00 = 165,994.64/x
  3. Step 3: Cross multiply
    256,524.14x = 353,917.00 × 165,994.64
  4. Step 4: Simplify right side
    256,524.14x = 58,748,322,820.31
  5. Step 5: Solve for x
    x = 58,748,322,820.31/256,524.14
  6. Step 6: Final answer
    x = 229,016.75

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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.