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Finding the Fourth Proportional to 416,362.56, 574,580.40 and 225,377.52

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Solution

The fourth proportional to 416,362.56, 574,580.40 and 225,377.52 is: 311,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,362.56 : 574,580.40 = 225,377.52 : x
  2. Step 2: Convert to fraction form
    416,362.56/574,580.40 = 225,377.52/x
  3. Step 3: Cross multiply
    416,362.56x = 574,580.40 × 225,377.52
  4. Step 4: Simplify right side
    416,362.56x = 129,497,505,592.61
  5. Step 5: Solve for x
    x = 129,497,505,592.61/416,362.56
  6. Step 6: Final answer
    x = 311,021.01

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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.