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Finding the Fourth Proportional to 414,248.14, 571,656.98 and 232,960.02

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Solution

The fourth proportional to 414,248.14, 571,656.98 and 232,960.02 is: 321,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,248.14 : 571,656.98 = 232,960.02 : x
  2. Step 2: Convert to fraction form
    414,248.14/571,656.98 = 232,960.02/x
  3. Step 3: Cross multiply
    414,248.14x = 571,656.98 × 232,960.02
  4. Step 4: Simplify right side
    414,248.14x = 133,173,221,493.94
  5. Step 5: Solve for x
    x = 133,173,221,493.94/414,248.14
  6. Step 6: Final answer
    x = 321,481.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.