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Finding the Fourth Proportional to 317,257.14, 475,251.18 and 190,827.54

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Solution

The fourth proportional to 317,257.14, 475,251.18 and 190,827.54 is: 285,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,257.14 : 475,251.18 = 190,827.54 : x
  2. Step 2: Convert to fraction form
    317,257.14/475,251.18 = 190,827.54/x
  3. Step 3: Cross multiply
    317,257.14x = 475,251.18 × 190,827.54
  4. Step 4: Simplify right side
    317,257.14x = 90,691,013,561.50
  5. Step 5: Solve for x
    x = 90,691,013,561.50/317,257.14
  6. Step 6: Final answer
    x = 285,859.65

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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.