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Finding the Fourth Proportional to 275,909.40, 413,864.10 and 109,697.40

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Solution

The fourth proportional to 275,909.40, 413,864.10 and 109,697.40 is: 164,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,909.40 : 413,864.10 = 109,697.40 : x
  2. Step 2: Convert to fraction form
    275,909.40/413,864.10 = 109,697.40/x
  3. Step 3: Cross multiply
    275,909.40x = 413,864.10 × 109,697.40
  4. Step 4: Simplify right side
    275,909.40x = 45,399,815,723.34
  5. Step 5: Solve for x
    x = 45,399,815,723.34/275,909.40
  6. Step 6: Final answer
    x = 164,546.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.