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Finding the Fourth Proportional to 398,232.20, 597,348.30 and 256,514.60

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Solution

The fourth proportional to 398,232.20, 597,348.30 and 256,514.60 is: 384,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,232.20 : 597,348.30 = 256,514.60 : x
  2. Step 2: Convert to fraction form
    398,232.20/597,348.30 = 256,514.60/x
  3. Step 3: Cross multiply
    398,232.20x = 597,348.30 × 256,514.60
  4. Step 4: Simplify right side
    398,232.20x = 153,228,560,235.18
  5. Step 5: Solve for x
    x = 153,228,560,235.18/398,232.20
  6. Step 6: Final answer
    x = 384,771.90

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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.