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Finding the Fourth Proportional to 367,362.14, 506,920.82 and 206,234.91

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Solution

The fourth proportional to 367,362.14, 506,920.82 and 206,234.91 is: 284,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,362.14 : 506,920.82 = 206,234.91 : x
  2. Step 2: Convert to fraction form
    367,362.14/506,920.82 = 206,234.91/x
  3. Step 3: Cross multiply
    367,362.14x = 506,920.82 × 206,234.91
  4. Step 4: Simplify right side
    367,362.14x = 104,544,768,658.65
  5. Step 5: Solve for x
    x = 104,544,768,658.65/367,362.14
  6. Step 6: Final answer
    x = 284,582.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.