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Finding the Fourth Proportional to 297,584.81, 410,692.37 and 168,546.24

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Solution

The fourth proportional to 297,584.81, 410,692.37 and 168,546.24 is: 232,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,584.81 : 410,692.37 = 168,546.24 : x
  2. Step 2: Convert to fraction form
    297,584.81/410,692.37 = 168,546.24/x
  3. Step 3: Cross multiply
    297,584.81x = 410,692.37 × 168,546.24
  4. Step 4: Simplify right side
    297,584.81x = 69,220,654,760.19
  5. Step 5: Solve for x
    x = 69,220,654,760.19/297,584.81
  6. Step 6: Final answer
    x = 232,608.16

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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.