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Finding the Fourth Proportional to 414,300.35, 571,668.57 and 232,977.23

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Solution

The fourth proportional to 414,300.35, 571,668.57 and 232,977.23 is: 321,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,300.35 : 571,668.57 = 232,977.23 : x
  2. Step 2: Convert to fraction form
    414,300.35/571,668.57 = 232,977.23/x
  3. Step 3: Cross multiply
    414,300.35x = 571,668.57 × 232,977.23
  4. Step 4: Simplify right side
    414,300.35x = 133,185,759,202.08
  5. Step 5: Solve for x
    x = 133,185,759,202.08/414,300.35
  6. Step 6: Final answer
    x = 321,471.51

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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.