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Finding the Fourth Proportional to 367,333.83, 506,856.56 and 206,195.67

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Solution

The fourth proportional to 367,333.83, 506,856.56 and 206,195.67 is: 284,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,333.83 : 506,856.56 = 206,195.67 : x
  2. Step 2: Convert to fraction form
    367,333.83/506,856.56 = 206,195.67/x
  3. Step 3: Cross multiply
    367,333.83x = 506,856.56 × 206,195.67
  4. Step 4: Simplify right side
    367,333.83x = 104,511,626,952.12
  5. Step 5: Solve for x
    x = 104,511,626,952.12/367,333.83
  6. Step 6: Final answer
    x = 284,514.03

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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.