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Finding the Fourth Proportional to 523,331.73, 722,215.23 and 293,929.44

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Solution

The fourth proportional to 523,331.73, 722,215.23 and 293,929.44 is: 405,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,331.73 : 722,215.23 = 293,929.44 : x
  2. Step 2: Convert to fraction form
    523,331.73/722,215.23 = 293,929.44/x
  3. Step 3: Cross multiply
    523,331.73x = 722,215.23 × 293,929.44
  4. Step 4: Simplify right side
    523,331.73x = 212,280,318,288.55
  5. Step 5: Solve for x
    x = 212,280,318,288.55/523,331.73
  6. Step 6: Final answer
    x = 405,632.42

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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.