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Finding the Fourth Proportional to 381,752.82, 571,756.86 and 182,213.28

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Solution

The fourth proportional to 381,752.82, 571,756.86 and 182,213.28 is: 272,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,752.82 : 571,756.86 = 182,213.28 : x
  2. Step 2: Convert to fraction form
    381,752.82/571,756.86 = 182,213.28/x
  3. Step 3: Cross multiply
    381,752.82x = 571,756.86 × 182,213.28
  4. Step 4: Simplify right side
    381,752.82x = 104,181,692,823.10
  5. Step 5: Solve for x
    x = 104,181,692,823.10/381,752.82
  6. Step 6: Final answer
    x = 272,903.53

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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.