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Finding the Fourth Proportional to 361,809.20, 499,327.34 and 200,716.13

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Solution

The fourth proportional to 361,809.20, 499,327.34 and 200,716.13 is: 277,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,809.20 : 499,327.34 = 200,716.13 : x
  2. Step 2: Convert to fraction form
    361,809.20/499,327.34 = 200,716.13/x
  3. Step 3: Cross multiply
    361,809.20x = 499,327.34 × 200,716.13
  4. Step 4: Simplify right side
    361,809.20x = 100,223,047,787.78
  5. Step 5: Solve for x
    x = 100,223,047,787.78/361,809.20
  6. Step 6: Final answer
    x = 277,005.25

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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.