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Finding the Fourth Proportional to 416,411.42, 574,649.60 and 225,424.80

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Solution

The fourth proportional to 416,411.42, 574,649.60 and 225,424.80 is: 311,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,411.42 : 574,649.60 = 225,424.80 : x
  2. Step 2: Convert to fraction form
    416,411.42/574,649.60 = 225,424.80/x
  3. Step 3: Cross multiply
    416,411.42x = 574,649.60 × 225,424.80
  4. Step 4: Simplify right side
    416,411.42x = 129,540,270,022.96
  5. Step 5: Solve for x
    x = 129,540,270,022.96/416,411.42
  6. Step 6: Final answer
    x = 311,087.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.