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Finding the Fourth Proportional to 359,644.44, 496,325.52 and 206,732.28

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Solution

The fourth proportional to 359,644.44, 496,325.52 and 206,732.28 is: 285,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,644.44 : 496,325.52 = 206,732.28 : x
  2. Step 2: Convert to fraction form
    359,644.44/496,325.52 = 206,732.28/x
  3. Step 3: Cross multiply
    359,644.44x = 496,325.52 × 206,732.28
  4. Step 4: Simplify right side
    359,644.44x = 102,606,506,371.79
  5. Step 5: Solve for x
    x = 102,606,506,371.79/359,644.44
  6. Step 6: Final answer
    x = 285,299.85

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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.