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Finding the Fourth Proportional to 362,114.13, 499,722.98 and 200,979.62

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Solution

The fourth proportional to 362,114.13, 499,722.98 and 200,979.62 is: 277,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,114.13 : 499,722.98 = 200,979.62 : x
  2. Step 2: Convert to fraction form
    362,114.13/499,722.98 = 200,979.62/x
  3. Step 3: Cross multiply
    362,114.13x = 499,722.98 × 200,979.62
  4. Step 4: Simplify right side
    362,114.13x = 100,434,134,625.67
  5. Step 5: Solve for x
    x = 100,434,134,625.67/362,114.13
  6. Step 6: Final answer
    x = 277,354.92

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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.