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Finding the Fourth Proportional to 702,944.97, 970,099.38 and 412,569.12

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Solution

The fourth proportional to 702,944.97, 970,099.38 and 412,569.12 is: 569,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,944.97 : 970,099.38 = 412,569.12 : x
  2. Step 2: Convert to fraction form
    702,944.97/970,099.38 = 412,569.12/x
  3. Step 3: Cross multiply
    702,944.97x = 970,099.38 × 412,569.12
  4. Step 4: Simplify right side
    702,944.97x = 400,233,048,138.54
  5. Step 5: Solve for x
    x = 400,233,048,138.54/702,944.97
  6. Step 6: Final answer
    x = 569,366.12

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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.