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Finding the Fourth Proportional to 416,770.92, 575,140.69 and 225,782.94

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Solution

The fourth proportional to 416,770.92, 575,140.69 and 225,782.94 is: 311,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,770.92 : 575,140.69 = 225,782.94 : x
  2. Step 2: Convert to fraction form
    416,770.92/575,140.69 = 225,782.94/x
  3. Step 3: Cross multiply
    416,770.92x = 575,140.69 × 225,782.94
  4. Step 4: Simplify right side
    416,770.92x = 129,856,954,772.91
  5. Step 5: Solve for x
    x = 129,856,954,772.91/416,770.92
  6. Step 6: Final answer
    x = 311,578.74

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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.