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Finding the Fourth Proportional to 703,397.57, 970,578.96 and 416,871.41

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Solution

The fourth proportional to 703,397.57, 970,578.96 and 416,871.41 is: 575,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,397.57 : 970,578.96 = 416,871.41 : x
  2. Step 2: Convert to fraction form
    703,397.57/970,578.96 = 416,871.41/x
  3. Step 3: Cross multiply
    703,397.57x = 970,578.96 × 416,871.41
  4. Step 4: Simplify right side
    703,397.57x = 404,606,619,571.53
  5. Step 5: Solve for x
    x = 404,606,619,571.53/703,397.57
  6. Step 6: Final answer
    x = 575,217.54

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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.