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Finding the Fourth Proportional to 427,033.83, 589,306.82 and 233,442.39

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Solution

The fourth proportional to 427,033.83, 589,306.82 and 233,442.39 is: 322,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,033.83 : 589,306.82 = 233,442.39 : x
  2. Step 2: Convert to fraction form
    427,033.83/589,306.82 = 233,442.39/x
  3. Step 3: Cross multiply
    427,033.83x = 589,306.82 × 233,442.39
  4. Step 4: Simplify right side
    427,033.83x = 137,569,192,504.10
  5. Step 5: Solve for x
    x = 137,569,192,504.10/427,033.83
  6. Step 6: Final answer
    x = 322,150.57

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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.