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Finding the Fourth Proportional to 362,017.14, 499,576.02 and 200,868.72

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Solution

The fourth proportional to 362,017.14, 499,576.02 and 200,868.72 is: 277,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,017.14 : 499,576.02 = 200,868.72 : x
  2. Step 2: Convert to fraction form
    362,017.14/499,576.02 = 200,868.72/x
  3. Step 3: Cross multiply
    362,017.14x = 499,576.02 × 200,868.72
  4. Step 4: Simplify right side
    362,017.14x = 100,349,195,680.09
  5. Step 5: Solve for x
    x = 100,349,195,680.09/362,017.14
  6. Step 6: Final answer
    x = 277,194.60

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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.