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Finding the Fourth Proportional to 414,249.14, 571,658.36 and 232,961.02

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Solution

The fourth proportional to 414,249.14, 571,658.36 and 232,961.02 is: 321,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,249.14 : 571,658.36 = 232,961.02 : x
  2. Step 2: Convert to fraction form
    414,249.14/571,658.36 = 232,961.02/x
  3. Step 3: Cross multiply
    414,249.14x = 571,658.36 × 232,961.02
  4. Step 4: Simplify right side
    414,249.14x = 133,174,114,637.13
  5. Step 5: Solve for x
    x = 133,174,114,637.13/414,249.14
  6. Step 6: Final answer
    x = 321,483.14

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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.