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Finding the Fourth Proportional to 297,527.45, 446,305.52 and 97,843.41

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Solution

The fourth proportional to 297,527.45, 446,305.52 and 97,843.41 is: 146,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,527.45 : 446,305.52 = 97,843.41 : x
  2. Step 2: Convert to fraction form
    297,527.45/446,305.52 = 97,843.41/x
  3. Step 3: Cross multiply
    297,527.45x = 446,305.52 × 97,843.41
  4. Step 4: Simplify right side
    297,527.45x = 43,668,053,978.62
  5. Step 5: Solve for x
    x = 43,668,053,978.62/297,527.45
  6. Step 6: Final answer
    x = 146,769.83

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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.