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Finding the Fourth Proportional to 359,435.69, 496,045.32 and 206,523.38

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Solution

The fourth proportional to 359,435.69, 496,045.32 and 206,523.38 is: 285,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,435.69 : 496,045.32 = 206,523.38 : x
  2. Step 2: Convert to fraction form
    359,435.69/496,045.32 = 206,523.38/x
  3. Step 3: Cross multiply
    359,435.69x = 496,045.32 × 206,523.38
  4. Step 4: Simplify right side
    359,435.69x = 102,444,955,190.11
  5. Step 5: Solve for x
    x = 102,444,955,190.11/359,435.69
  6. Step 6: Final answer
    x = 285,016.09

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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.