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Finding the Fourth Proportional to 288,226.20, 432,080.10 and 188,434.20

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Solution

The fourth proportional to 288,226.20, 432,080.10 and 188,434.20 is: 282,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,226.20 : 432,080.10 = 188,434.20 : x
  2. Step 2: Convert to fraction form
    288,226.20/432,080.10 = 188,434.20/x
  3. Step 3: Cross multiply
    288,226.20x = 432,080.10 × 188,434.20
  4. Step 4: Simplify right side
    288,226.20x = 81,418,667,979.42
  5. Step 5: Solve for x
    x = 81,418,667,979.42/288,226.20
  6. Step 6: Final answer
    x = 282,481.84

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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.