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Finding the Fourth Proportional to 367,135.79, 506,697.83 and 206,000.36

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Solution

The fourth proportional to 367,135.79, 506,697.83 and 206,000.36 is: 284,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,135.79 : 506,697.83 = 206,000.36 : x
  2. Step 2: Convert to fraction form
    367,135.79/506,697.83 = 206,000.36/x
  3. Step 3: Cross multiply
    367,135.79x = 506,697.83 × 206,000.36
  4. Step 4: Simplify right side
    367,135.79x = 104,379,937,350.52
  5. Step 5: Solve for x
    x = 104,379,937,350.52/367,135.79
  6. Step 6: Final answer
    x = 284,308.80

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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.