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Finding the Fourth Proportional to 297,967.80, 446,606.10 and 120,358.20

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Solution

The fourth proportional to 297,967.80, 446,606.10 and 120,358.20 is: 180,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.80 : 446,606.10 = 120,358.20 : x
  2. Step 2: Convert to fraction form
    297,967.80/446,606.10 = 120,358.20/x
  3. Step 3: Cross multiply
    297,967.80x = 446,606.10 × 120,358.20
  4. Step 4: Simplify right side
    297,967.80x = 53,752,706,305.02
  5. Step 5: Solve for x
    x = 53,752,706,305.02/297,967.80
  6. Step 6: Final answer
    x = 180,397.70

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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.