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Finding the Fourth Proportional to 412,863.92, 569,797.72 and 231,593.52

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Solution

The fourth proportional to 412,863.92, 569,797.72 and 231,593.52 is: 319,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,863.92 : 569,797.72 = 231,593.52 : x
  2. Step 2: Convert to fraction form
    412,863.92/569,797.72 = 231,593.52/x
  3. Step 3: Cross multiply
    412,863.92x = 569,797.72 × 231,593.52
  4. Step 4: Simplify right side
    412,863.92x = 131,961,459,662.77
  5. Step 5: Solve for x
    x = 131,961,459,662.77/412,863.92
  6. Step 6: Final answer
    x = 319,624.59

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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.