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Finding the Fourth Proportional to 523,644.06, 722,584.42 and 294,183.35

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Solution

The fourth proportional to 523,644.06, 722,584.42 and 294,183.35 is: 405,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,644.06 : 722,584.42 = 294,183.35 : x
  2. Step 2: Convert to fraction form
    523,644.06/722,584.42 = 294,183.35/x
  3. Step 3: Cross multiply
    523,644.06x = 722,584.42 × 294,183.35
  4. Step 4: Simplify right side
    523,644.06x = 212,572,305,333.41
  5. Step 5: Solve for x
    x = 212,572,305,333.41/523,644.06
  6. Step 6: Final answer
    x = 405,948.09

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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.