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Finding the Fourth Proportional to 381,209.60, 571,814.40 and 171,257.60

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Solution

The fourth proportional to 381,209.60, 571,814.40 and 171,257.60 is: 256,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,209.60 : 571,814.40 = 171,257.60 : x
  2. Step 2: Convert to fraction form
    381,209.60/571,814.40 = 171,257.60/x
  3. Step 3: Cross multiply
    381,209.60x = 571,814.40 × 171,257.60
  4. Step 4: Simplify right side
    381,209.60x = 97,927,561,789.44
  5. Step 5: Solve for x
    x = 97,927,561,789.44/381,209.60
  6. Step 6: Final answer
    x = 256,886.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.