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Finding the Fourth Proportional to 297,141.20, 409,991.79 and 176,321.80

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Solution

The fourth proportional to 297,141.20, 409,991.79 and 176,321.80 is: 243,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,141.20 : 409,991.79 = 176,321.80 : x
  2. Step 2: Convert to fraction form
    297,141.20/409,991.79 = 176,321.80/x
  3. Step 3: Cross multiply
    297,141.20x = 409,991.79 × 176,321.80
  4. Step 4: Simplify right side
    297,141.20x = 72,290,490,398.02
  5. Step 5: Solve for x
    x = 72,290,490,398.02/297,141.20
  6. Step 6: Final answer
    x = 243,286.66

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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.