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Finding the Fourth Proportional to 362,140.83, 499,744.74 and 200,991.72

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Solution

The fourth proportional to 362,140.83, 499,744.74 and 200,991.72 is: 277,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.83 : 499,744.74 = 200,991.72 : x
  2. Step 2: Convert to fraction form
    362,140.83/499,744.74 = 200,991.72/x
  3. Step 3: Cross multiply
    362,140.83x = 499,744.74 × 200,991.72
  4. Step 4: Simplify right side
    362,140.83x = 100,444,554,853.55
  5. Step 5: Solve for x
    x = 100,444,554,853.55/362,140.83
  6. Step 6: Final answer
    x = 277,363.24

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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.