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Finding the Fourth Proportional to 362,065.41, 499,651.62 and 200,943.66

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Solution

The fourth proportional to 362,065.41, 499,651.62 and 200,943.66 is: 277,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,065.41 : 499,651.62 = 200,943.66 : x
  2. Step 2: Convert to fraction form
    362,065.41/499,651.62 = 200,943.66/x
  3. Step 3: Cross multiply
    362,065.41x = 499,651.62 × 200,943.66
  4. Step 4: Simplify right side
    362,065.41x = 100,401,825,247.73
  5. Step 5: Solve for x
    x = 100,401,825,247.73/362,065.41
  6. Step 6: Final answer
    x = 277,303.00

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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.