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Finding the Fourth Proportional to 293,957.78, 440,586.75 and 204,728.18

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Solution

The fourth proportional to 293,957.78, 440,586.75 and 204,728.18 is: 306,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.78 : 440,586.75 = 204,728.18 : x
  2. Step 2: Convert to fraction form
    293,957.78/440,586.75 = 204,728.18/x
  3. Step 3: Cross multiply
    293,957.78x = 440,586.75 × 204,728.18
  4. Step 4: Simplify right side
    293,957.78x = 90,200,523,459.62
  5. Step 5: Solve for x
    x = 90,200,523,459.62/293,957.78
  6. Step 6: Final answer
    x = 306,848.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.