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Finding the Fourth Proportional to 359,693.76, 496,576.26 and 216,489

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Solution

The fourth proportional to 359,693.76, 496,576.26 and 216,489 is: 298,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,693.76 : 496,576.26 = 216,489 : x
  2. Step 2: Convert to fraction form
    359,693.76/496,576.26 = 216,489/x
  3. Step 3: Cross multiply
    359,693.76x = 496,576.26 × 216,489
  4. Step 4: Simplify right side
    359,693.76x = 107,503,297,951.14
  5. Step 5: Solve for x
    x = 107,503,297,951.14/359,693.76
  6. Step 6: Final answer
    x = 298,874.51

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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.