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Finding the Fourth Proportional to 297,660, 410,770.96 and 163,532.64

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Solution

The fourth proportional to 297,660, 410,770.96 and 163,532.64 is: 225,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,660 : 410,770.96 = 163,532.64 : x
  2. Step 2: Convert to fraction form
    297,660/410,770.96 = 163,532.64/x
  3. Step 3: Cross multiply
    297,660x = 410,770.96 × 163,532.64
  4. Step 4: Simplify right side
    297,660x = 67,174,459,524.13
  5. Step 5: Solve for x
    x = 67,174,459,524.13/297,660
  6. Step 6: Final answer
    x = 225,675.13

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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.