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Finding the Fourth Proportional to 297,676, 410,793.04 and 163,548.64

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Solution

The fourth proportional to 297,676, 410,793.04 and 163,548.64 is: 225,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,676 : 410,793.04 = 163,548.64 : x
  2. Step 2: Convert to fraction form
    297,676/410,793.04 = 163,548.64/x
  3. Step 3: Cross multiply
    297,676x = 410,793.04 × 163,548.64
  4. Step 4: Simplify right side
    297,676x = 67,184,643,013.47
  5. Step 5: Solve for x
    x = 67,184,643,013.47/297,676
  6. Step 6: Final answer
    x = 225,697.21

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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.