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Finding the Fourth Proportional to 367,096.67, 506,598.33 and 205,942.10

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Solution

The fourth proportional to 367,096.67, 506,598.33 and 205,942.10 is: 284,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,096.67 : 506,598.33 = 205,942.10 : x
  2. Step 2: Convert to fraction form
    367,096.67/506,598.33 = 205,942.10/x
  3. Step 3: Cross multiply
    367,096.67x = 506,598.33 × 205,942.10
  4. Step 4: Simplify right side
    367,096.67x = 104,329,923,936.69
  5. Step 5: Solve for x
    x = 104,329,923,936.69/367,096.67
  6. Step 6: Final answer
    x = 284,202.86

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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.