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Finding the Fourth Proportional to 414,063.69, 571,408.83 and 232,777.11

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Solution

The fourth proportional to 414,063.69, 571,408.83 and 232,777.11 is: 321,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063.69 : 571,408.83 = 232,777.11 : x
  2. Step 2: Convert to fraction form
    414,063.69/571,408.83 = 232,777.11/x
  3. Step 3: Cross multiply
    414,063.69x = 571,408.83 × 232,777.11
  4. Step 4: Simplify right side
    414,063.69x = 133,010,893,218.84
  5. Step 5: Solve for x
    x = 133,010,893,218.84/414,063.69
  6. Step 6: Final answer
    x = 321,232.94

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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.