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Finding the Fourth Proportional to 416,631.08, 574,950.72 and 225,644.48

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Solution

The fourth proportional to 416,631.08, 574,950.72 and 225,644.48 is: 311,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,631.08 : 574,950.72 = 225,644.48 : x
  2. Step 2: Convert to fraction form
    416,631.08/574,950.72 = 225,644.48/x
  3. Step 3: Cross multiply
    416,631.08x = 574,950.72 × 225,644.48
  4. Step 4: Simplify right side
    416,631.08x = 129,734,456,240.03
  5. Step 5: Solve for x
    x = 129,734,456,240.03/416,631.08
  6. Step 6: Final answer
    x = 311,389.29

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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.