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Finding the Fourth Proportional to 416,558.58, 574,850.70 and 225,571.92

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Solution

The fourth proportional to 416,558.58, 574,850.70 and 225,571.92 is: 311,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,558.58 : 574,850.70 = 225,571.92 : x
  2. Step 2: Convert to fraction form
    416,558.58/574,850.70 = 225,571.92/x
  3. Step 3: Cross multiply
    416,558.58x = 574,850.70 × 225,571.92
  4. Step 4: Simplify right side
    416,558.58x = 129,670,176,112.34
  5. Step 5: Solve for x
    x = 129,670,176,112.34/416,558.58
  6. Step 6: Final answer
    x = 311,289.17

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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.