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Finding the Fourth Proportional to 414,017.44, 571,346.32 and 235,175.84

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Solution

The fourth proportional to 414,017.44, 571,346.32 and 235,175.84 is: 324,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,017.44 : 571,346.32 = 235,175.84 : x
  2. Step 2: Convert to fraction form
    414,017.44/571,346.32 = 235,175.84/x
  3. Step 3: Cross multiply
    414,017.44x = 571,346.32 × 235,175.84
  4. Step 4: Simplify right side
    414,017.44x = 134,366,850,736.91
  5. Step 5: Solve for x
    x = 134,366,850,736.91/414,017.44
  6. Step 6: Final answer
    x = 324,543.94

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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.