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Finding the Fourth Proportional to 297,797.48, 446,750.94 and 98,129.64

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Solution

The fourth proportional to 297,797.48, 446,750.94 and 98,129.64 is: 147,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,797.48 : 446,750.94 = 98,129.64 : x
  2. Step 2: Convert to fraction form
    297,797.48/446,750.94 = 98,129.64/x
  3. Step 3: Cross multiply
    297,797.48x = 446,750.94 × 98,129.64
  4. Step 4: Simplify right side
    297,797.48x = 43,839,508,911.86
  5. Step 5: Solve for x
    x = 43,839,508,911.86/297,797.48
  6. Step 6: Final answer
    x = 147,212.49

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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.