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Finding the Fourth Proportional to 617,524, 852,183.12 and 334,900

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Solution

The fourth proportional to 617,524, 852,183.12 and 334,900 is: 462,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,524 : 852,183.12 = 334,900 : x
  2. Step 2: Convert to fraction form
    617,524/852,183.12 = 334,900/x
  3. Step 3: Cross multiply
    617,524x = 852,183.12 × 334,900
  4. Step 4: Simplify right side
    617,524x = 285,396,126,888
  5. Step 5: Solve for x
    x = 285,396,126,888/617,524
  6. Step 6: Final answer
    x = 462,162

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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.