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Finding the Fourth Proportional to 414,685.58, 572,284.44 and 233,409.20

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Solution

The fourth proportional to 414,685.58, 572,284.44 and 233,409.20 is: 322,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,685.58 : 572,284.44 = 233,409.20 : x
  2. Step 2: Convert to fraction form
    414,685.58/572,284.44 = 233,409.20/x
  3. Step 3: Cross multiply
    414,685.58x = 572,284.44 × 233,409.20
  4. Step 4: Simplify right side
    414,685.58x = 133,576,450,451.43
  5. Step 5: Solve for x
    x = 133,576,450,451.43/414,685.58
  6. Step 6: Final answer
    x = 322,115.02

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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.