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Finding the Fourth Proportional to 297,943.80, 446,820.90 and 98,226.96

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Solution

The fourth proportional to 297,943.80, 446,820.90 and 98,226.96 is: 147,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,943.80 : 446,820.90 = 98,226.96 : x
  2. Step 2: Convert to fraction form
    297,943.80/446,820.90 = 98,226.96/x
  3. Step 3: Cross multiply
    297,943.80x = 446,820.90 × 98,226.96
  4. Step 4: Simplify right side
    297,943.80x = 43,889,858,671.46
  5. Step 5: Solve for x
    x = 43,889,858,671.46/297,943.80
  6. Step 6: Final answer
    x = 147,309.19

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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.