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Finding the Fourth Proportional to 397,435.44, 548,474.94 and 227,702.34

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Solution

The fourth proportional to 397,435.44, 548,474.94 and 227,702.34 is: 314,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,435.44 : 548,474.94 = 227,702.34 : x
  2. Step 2: Convert to fraction form
    397,435.44/548,474.94 = 227,702.34/x
  3. Step 3: Cross multiply
    397,435.44x = 548,474.94 × 227,702.34
  4. Step 4: Simplify right side
    397,435.44x = 124,889,027,269.36
  5. Step 5: Solve for x
    x = 124,889,027,269.36/397,435.44
  6. Step 6: Final answer
    x = 314,237.27

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1.5x scale

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.