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Finding the Fourth Proportional to 369,602.80, 510,050.82 and 206,257.56

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Solution

The fourth proportional to 369,602.80, 510,050.82 and 206,257.56 is: 284,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,602.80 : 510,050.82 = 206,257.56 : x
  2. Step 2: Convert to fraction form
    369,602.80/510,050.82 = 206,257.56/x
  3. Step 3: Cross multiply
    369,602.80x = 510,050.82 × 206,257.56
  4. Step 4: Simplify right side
    369,602.80x = 105,201,836,469.97
  5. Step 5: Solve for x
    x = 105,201,836,469.97/369,602.80
  6. Step 6: Final answer
    x = 284,634.85

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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.