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Finding the Fourth Proportional to 381,175.56, 571,667.42 and 156,597.99

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Solution

The fourth proportional to 381,175.56, 571,667.42 and 156,597.99 is: 234,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,175.56 : 571,667.42 = 156,597.99 : x
  2. Step 2: Convert to fraction form
    381,175.56/571,667.42 = 156,597.99/x
  3. Step 3: Cross multiply
    381,175.56x = 571,667.42 × 156,597.99
  4. Step 4: Simplify right side
    381,175.56x = 89,521,968,137.50
  5. Step 5: Solve for x
    x = 89,521,968,137.50/381,175.56
  6. Step 6: Final answer
    x = 234,857.58

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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.