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Finding the Fourth Proportional to 411,481.20, 567,830.84 and 230,189.20

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Solution

The fourth proportional to 411,481.20, 567,830.84 and 230,189.20 is: 317,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,481.20 : 567,830.84 = 230,189.20 : x
  2. Step 2: Convert to fraction form
    411,481.20/567,830.84 = 230,189.20/x
  3. Step 3: Cross multiply
    411,481.20x = 567,830.84 × 230,189.20
  4. Step 4: Simplify right side
    411,481.20x = 130,708,526,794.93
  5. Step 5: Solve for x
    x = 130,708,526,794.93/411,481.20
  6. Step 6: Final answer
    x = 317,653.70

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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.