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Finding the Fourth Proportional to 362,115.14, 499,724.36 and 200,980.62

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Solution

The fourth proportional to 362,115.14, 499,724.36 and 200,980.62 is: 277,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,115.14 : 499,724.36 = 200,980.62 : x
  2. Step 2: Convert to fraction form
    362,115.14/499,724.36 = 200,980.62/x
  3. Step 3: Cross multiply
    362,115.14x = 499,724.36 × 200,980.62
  4. Step 4: Simplify right side
    362,115.14x = 100,434,911,701.90
  5. Step 5: Solve for x
    x = 100,434,911,701.90/362,115.14
  6. Step 6: Final answer
    x = 277,356.29

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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.