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Finding the Fourth Proportional to 367,245.54, 506,807.91 and 206,112.87

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Solution

The fourth proportional to 367,245.54, 506,807.91 and 206,112.87 is: 284,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,245.54 : 506,807.91 = 206,112.87 : x
  2. Step 2: Convert to fraction form
    367,245.54/506,807.91 = 206,112.87/x
  3. Step 3: Cross multiply
    367,245.54x = 506,807.91 × 206,112.87
  4. Step 4: Simplify right side
    367,245.54x = 104,459,632,868.80
  5. Step 5: Solve for x
    x = 104,459,632,868.80/367,245.54
  6. Step 6: Final answer
    x = 284,440.85

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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.