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Finding the Fourth Proportional to 397,713.44, 548,856.08 and 216,437.06

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Solution

The fourth proportional to 397,713.44, 548,856.08 and 216,437.06 is: 298,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,713.44 : 548,856.08 = 216,437.06 : x
  2. Step 2: Convert to fraction form
    397,713.44/548,856.08 = 216,437.06/x
  3. Step 3: Cross multiply
    397,713.44x = 548,856.08 × 216,437.06
  4. Step 4: Simplify right side
    397,713.44x = 118,792,796,318.33
  5. Step 5: Solve for x
    x = 118,792,796,318.33/397,713.44
  6. Step 6: Final answer
    x = 298,689.42

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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.