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Finding the Fourth Proportional to 297,697.20, 446,416.20 and 97,940.40

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Solution

The fourth proportional to 297,697.20, 446,416.20 and 97,940.40 is: 146,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,697.20 : 446,416.20 = 97,940.40 : x
  2. Step 2: Convert to fraction form
    297,697.20/446,416.20 = 97,940.40/x
  3. Step 3: Cross multiply
    297,697.20x = 446,416.20 × 97,940.40
  4. Step 4: Simplify right side
    297,697.20x = 43,722,181,194.48
  5. Step 5: Solve for x
    x = 43,722,181,194.48/297,697.20
  6. Step 6: Final answer
    x = 146,867.96

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1.5x scale

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.