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Finding the Fourth Proportional to 257,861.16, 387,046.30 and 193,595.78

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Solution

The fourth proportional to 257,861.16, 387,046.30 and 193,595.78 is: 290,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,861.16 : 387,046.30 = 193,595.78 : x
  2. Step 2: Convert to fraction form
    257,861.16/387,046.30 = 193,595.78/x
  3. Step 3: Cross multiply
    257,861.16x = 387,046.30 × 193,595.78
  4. Step 4: Simplify right side
    257,861.16x = 74,930,531,735.52
  5. Step 5: Solve for x
    x = 74,930,531,735.52/257,861.16
  6. Step 6: Final answer
    x = 290,584.79

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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.