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Finding the Fourth Proportional to 297,936.54, 446,841.77 and 98,209.46

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Solution

The fourth proportional to 297,936.54, 446,841.77 and 98,209.46 is: 147,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,936.54 : 446,841.77 = 98,209.46 : x
  2. Step 2: Convert to fraction form
    297,936.54/446,841.77 = 98,209.46/x
  3. Step 3: Cross multiply
    297,936.54x = 446,841.77 × 98,209.46
  4. Step 4: Simplify right side
    297,936.54x = 43,884,086,211.89
  5. Step 5: Solve for x
    x = 43,884,086,211.89/297,936.54
  6. Step 6: Final answer
    x = 147,293.40

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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.