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Finding the Fourth Proportional to 317,769.62, 476,653.68 and 199,523.93

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Solution

The fourth proportional to 317,769.62, 476,653.68 and 199,523.93 is: 299,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,769.62 : 476,653.68 = 199,523.93 : x
  2. Step 2: Convert to fraction form
    317,769.62/476,653.68 = 199,523.93/x
  3. Step 3: Cross multiply
    317,769.62x = 476,653.68 × 199,523.93
  4. Step 4: Simplify right side
    317,769.62x = 95,103,813,099.29
  5. Step 5: Solve for x
    x = 95,103,813,099.29/317,769.62
  6. Step 6: Final answer
    x = 299,285.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.