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Finding the Fourth Proportional to 414,132.16, 571,494.84 and 230,369.82

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Solution

The fourth proportional to 414,132.16, 571,494.84 and 230,369.82 is: 317,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,132.16 : 571,494.84 = 230,369.82 : x
  2. Step 2: Convert to fraction form
    414,132.16/571,494.84 = 230,369.82/x
  3. Step 3: Cross multiply
    414,132.16x = 571,494.84 × 230,369.82
  4. Step 4: Simplify right side
    414,132.16x = 131,655,163,421.73
  5. Step 5: Solve for x
    x = 131,655,163,421.73/414,132.16
  6. Step 6: Final answer
    x = 317,906.16

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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.