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Finding the Fourth Proportional to 297,713.23, 410,848.92 and 161,749.87

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Solution

The fourth proportional to 297,713.23, 410,848.92 and 161,749.87 is: 223,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.23 : 410,848.92 = 161,749.87 : x
  2. Step 2: Convert to fraction form
    297,713.23/410,848.92 = 161,749.87/x
  3. Step 3: Cross multiply
    297,713.23x = 410,848.92 × 161,749.87
  4. Step 4: Simplify right side
    297,713.23x = 66,454,759,399.64
  5. Step 5: Solve for x
    x = 66,454,759,399.64/297,713.23
  6. Step 6: Final answer
    x = 223,217.35

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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.