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Finding the Fourth Proportional to 297,735.20, 446,473.20 and 97,978.40

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Solution

The fourth proportional to 297,735.20, 446,473.20 and 97,978.40 is: 146,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,735.20 : 446,473.20 = 97,978.40 : x
  2. Step 2: Convert to fraction form
    297,735.20/446,473.20 = 97,978.40/x
  3. Step 3: Cross multiply
    297,735.20x = 446,473.20 × 97,978.40
  4. Step 4: Simplify right side
    297,735.20x = 43,744,729,778.88
  5. Step 5: Solve for x
    x = 43,744,729,778.88/297,735.20
  6. Step 6: Final answer
    x = 146,924.95

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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.