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Finding the Fourth Proportional to 412,286.84, 570,101.10 and 327,256.28

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Solution

The fourth proportional to 412,286.84, 570,101.10 and 327,256.28 is: 452,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,286.84 : 570,101.10 = 327,256.28 : x
  2. Step 2: Convert to fraction form
    412,286.84/570,101.10 = 327,256.28/x
  3. Step 3: Cross multiply
    412,286.84x = 570,101.10 × 327,256.28
  4. Step 4: Simplify right side
    412,286.84x = 186,569,165,209.91
  5. Step 5: Solve for x
    x = 186,569,165,209.91/412,286.84
  6. Step 6: Final answer
    x = 452,522.73

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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.