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Finding the Fourth Proportional to 297,568.52, 410,643.24 and 161,601.40

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Solution

The fourth proportional to 297,568.52, 410,643.24 and 161,601.40 is: 223,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,568.52 : 410,643.24 = 161,601.40 : x
  2. Step 2: Convert to fraction form
    297,568.52/410,643.24 = 161,601.40/x
  3. Step 3: Cross multiply
    297,568.52x = 410,643.24 × 161,601.40
  4. Step 4: Simplify right side
    297,568.52x = 66,360,522,484.54
  5. Step 5: Solve for x
    x = 66,360,522,484.54/297,568.52
  6. Step 6: Final answer
    x = 223,009.22

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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.