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Finding the Fourth Proportional to 589,183.97, 813,100.56 and 347,476.73

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Solution

The fourth proportional to 589,183.97, 813,100.56 and 347,476.73 is: 479,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,183.97 : 813,100.56 = 347,476.73 : x
  2. Step 2: Convert to fraction form
    589,183.97/813,100.56 = 347,476.73/x
  3. Step 3: Cross multiply
    589,183.97x = 813,100.56 × 347,476.73
  4. Step 4: Simplify right side
    589,183.97x = 282,533,523,749.97
  5. Step 5: Solve for x
    x = 282,533,523,749.97/589,183.97
  6. Step 6: Final answer
    x = 479,533.62

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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.