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Finding the Fourth Proportional to 416,105.11, 574,219.38 and 232,346.52

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Solution

The fourth proportional to 416,105.11, 574,219.38 and 232,346.52 is: 320,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,105.11 : 574,219.38 = 232,346.52 : x
  2. Step 2: Convert to fraction form
    416,105.11/574,219.38 = 232,346.52/x
  3. Step 3: Cross multiply
    416,105.11x = 574,219.38 × 232,346.52
  4. Step 4: Simplify right side
    416,105.11x = 133,417,873,262.39
  5. Step 5: Solve for x
    x = 133,417,873,262.39/416,105.11
  6. Step 6: Final answer
    x = 320,635.03

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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.