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Finding the Fourth Proportional to 397,533.06, 548,610.06 and 227,800.02

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Solution

The fourth proportional to 397,533.06, 548,610.06 and 227,800.02 is: 314,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,533.06 : 548,610.06 = 227,800.02 : x
  2. Step 2: Convert to fraction form
    397,533.06/548,610.06 = 227,800.02/x
  3. Step 3: Cross multiply
    397,533.06x = 548,610.06 × 227,800.02
  4. Step 4: Simplify right side
    397,533.06x = 124,973,382,640.20
  5. Step 5: Solve for x
    x = 124,973,382,640.20/397,533.06
  6. Step 6: Final answer
    x = 314,372.30

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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.