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Finding the Fourth Proportional to 297,983.80, 446,586.90 and 120,345.40

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Solution

The fourth proportional to 297,983.80, 446,586.90 and 120,345.40 is: 180,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,983.80 : 446,586.90 = 120,345.40 : x
  2. Step 2: Convert to fraction form
    297,983.80/446,586.90 = 120,345.40/x
  3. Step 3: Cross multiply
    297,983.80x = 446,586.90 × 120,345.40
  4. Step 4: Simplify right side
    297,983.80x = 53,744,679,115.26
  5. Step 5: Solve for x
    x = 53,744,679,115.26/297,983.80
  6. Step 6: Final answer
    x = 180,361.08

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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.