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Finding the Fourth Proportional to 523,505.54, 722,474.97 and 297,165.62

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Solution

The fourth proportional to 523,505.54, 722,474.97 and 297,165.62 is: 410,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,505.54 : 722,474.97 = 297,165.62 : x
  2. Step 2: Convert to fraction form
    523,505.54/722,474.97 = 297,165.62/x
  3. Step 3: Cross multiply
    523,505.54x = 722,474.97 × 297,165.62
  4. Step 4: Simplify right side
    523,505.54x = 214,694,722,394.53
  5. Step 5: Solve for x
    x = 214,694,722,394.53/523,505.54
  6. Step 6: Final answer
    x = 410,109.74

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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.