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Finding the Fourth Proportional to 412,846.08, 569,698.56 and 231,544.32

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Solution

The fourth proportional to 412,846.08, 569,698.56 and 231,544.32 is: 319,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,846.08 : 569,698.56 = 231,544.32 : x
  2. Step 2: Convert to fraction form
    412,846.08/569,698.56 = 231,544.32/x
  3. Step 3: Cross multiply
    412,846.08x = 569,698.56 × 231,544.32
  4. Step 4: Simplify right side
    412,846.08x = 131,910,465,680.18
  5. Step 5: Solve for x
    x = 131,910,465,680.18/412,846.08
  6. Step 6: Final answer
    x = 319,514.88

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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.