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Finding the Fourth Proportional to 414,003.12, 571,384.80 and 232,729.96

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Solution

The fourth proportional to 414,003.12, 571,384.80 and 232,729.96 is: 321,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,003.12 : 571,384.80 = 232,729.96 : x
  2. Step 2: Convert to fraction form
    414,003.12/571,384.80 = 232,729.96/x
  3. Step 3: Cross multiply
    414,003.12x = 571,384.80 × 232,729.96
  4. Step 4: Simplify right side
    414,003.12x = 132,978,361,648.61
  5. Step 5: Solve for x
    x = 132,978,361,648.61/414,003.12
  6. Step 6: Final answer
    x = 321,201.35

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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.