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Finding the Fourth Proportional to 256,246.81, 353,494.83 and 165,680.44

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Solution

The fourth proportional to 256,246.81, 353,494.83 and 165,680.44 is: 228,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,246.81 : 353,494.83 = 165,680.44 : x
  2. Step 2: Convert to fraction form
    256,246.81/353,494.83 = 165,680.44/x
  3. Step 3: Cross multiply
    256,246.81x = 353,494.83 × 165,680.44
  4. Step 4: Simplify right side
    256,246.81x = 58,567,178,709.69
  5. Step 5: Solve for x
    x = 58,567,178,709.69/256,246.81
  6. Step 6: Final answer
    x = 228,557.69

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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.