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Finding the Fourth Proportional to 412,395.84, 570,251.52 and 327,365.44

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Solution

The fourth proportional to 412,395.84, 570,251.52 and 327,365.44 is: 452,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,395.84 : 570,251.52 = 327,365.44 : x
  2. Step 2: Convert to fraction form
    412,395.84/570,251.52 = 327,365.44/x
  3. Step 3: Cross multiply
    412,395.84x = 570,251.52 × 327,365.44
  4. Step 4: Simplify right side
    412,395.84x = 186,680,639,755.47
  5. Step 5: Solve for x
    x = 186,680,639,755.47/412,395.84
  6. Step 6: Final answer
    x = 452,673.43

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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.