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Finding the Fourth Proportional to 297,967.62, 446,965.21 and 98,305.46

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Solution

The fourth proportional to 297,967.62, 446,965.21 and 98,305.46 is: 147,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.62 : 446,965.21 = 98,305.46 : x
  2. Step 2: Convert to fraction form
    297,967.62/446,965.21 = 98,305.46/x
  3. Step 3: Cross multiply
    297,967.62x = 446,965.21 × 98,305.46
  4. Step 4: Simplify right side
    297,967.62x = 43,939,119,768.58
  5. Step 5: Solve for x
    x = 43,939,119,768.58/297,967.62
  6. Step 6: Final answer
    x = 147,462.73

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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.