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Finding the Fourth Proportional to 362,017.53, 499,576.56 and 200,869.11

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Solution

The fourth proportional to 362,017.53, 499,576.56 and 200,869.11 is: 277,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,017.53 : 499,576.56 = 200,869.11 : x
  2. Step 2: Convert to fraction form
    362,017.53/499,576.56 = 200,869.11/x
  3. Step 3: Cross multiply
    362,017.53x = 499,576.56 × 200,869.11
  4. Step 4: Simplify right side
    362,017.53x = 100,349,498,984.06
  5. Step 5: Solve for x
    x = 100,349,498,984.06/362,017.53
  6. Step 6: Final answer
    x = 277,195.14

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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.