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Finding the Fourth Proportional to 256,532.70, 353,785.14 and 213,654.54

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Solution

The fourth proportional to 256,532.70, 353,785.14 and 213,654.54 is: 294,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.70 : 353,785.14 = 213,654.54 : x
  2. Step 2: Convert to fraction form
    256,532.70/353,785.14 = 213,654.54/x
  3. Step 3: Cross multiply
    256,532.70x = 353,785.14 × 213,654.54
  4. Step 4: Simplify right side
    256,532.70x = 75,587,801,345.54
  5. Step 5: Solve for x
    x = 75,587,801,345.54/256,532.70
  6. Step 6: Final answer
    x = 294,651.72

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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.