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Finding the Fourth Proportional to 414,940.24, 572,611.44 and 233,652.52

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Solution

The fourth proportional to 414,940.24, 572,611.44 and 233,652.52 is: 322,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,940.24 : 572,611.44 = 233,652.52 : x
  2. Step 2: Convert to fraction form
    414,940.24/572,611.44 = 233,652.52/x
  3. Step 3: Cross multiply
    414,940.24x = 572,611.44 × 233,652.52
  4. Step 4: Simplify right side
    414,940.24x = 133,792,105,936.83
  5. Step 5: Solve for x
    x = 133,792,105,936.83/414,940.24
  6. Step 6: Final answer
    x = 322,437.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.