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Finding the Fourth Proportional to 414,411.12, 571,833.54 and 233,116.92

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Solution

The fourth proportional to 414,411.12, 571,833.54 and 233,116.92 is: 321,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,411.12 : 571,833.54 = 233,116.92 : x
  2. Step 2: Convert to fraction form
    414,411.12/571,833.54 = 233,116.92/x
  3. Step 3: Cross multiply
    414,411.12x = 571,833.54 × 233,116.92
  4. Step 4: Simplify right side
    414,411.12x = 133,304,073,597.50
  5. Step 5: Solve for x
    x = 133,304,073,597.50/414,411.12
  6. Step 6: Final answer
    x = 321,671.08

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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.