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Finding the Fourth Proportional to 412,827.44, 569,694.46 and 231,539.72

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Solution

The fourth proportional to 412,827.44, 569,694.46 and 231,539.72 is: 319,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,827.44 : 569,694.46 = 231,539.72 : x
  2. Step 2: Convert to fraction form
    412,827.44/569,694.46 = 231,539.72/x
  3. Step 3: Cross multiply
    412,827.44x = 569,694.46 × 231,539.72
  4. Step 4: Simplify right side
    412,827.44x = 131,906,895,753.95
  5. Step 5: Solve for x
    x = 131,906,895,753.95/412,827.44
  6. Step 6: Final answer
    x = 319,520.66

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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.