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Finding the Fourth Proportional to 414,251.40, 571,661.44 and 232,963.28

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Solution

The fourth proportional to 414,251.40, 571,661.44 and 232,963.28 is: 321,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,251.40 : 571,661.44 = 232,963.28 : x
  2. Step 2: Convert to fraction form
    414,251.40/571,661.44 = 232,963.28/x
  3. Step 3: Cross multiply
    414,251.40x = 571,661.44 × 232,963.28
  4. Step 4: Simplify right side
    414,251.40x = 133,176,124,111.92
  5. Step 5: Solve for x
    x = 133,176,124,111.92/414,251.40
  6. Step 6: Final answer
    x = 321,486.24

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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.