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Finding the Fourth Proportional to 297,455.88, 446,016.13 and 97,722.64

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Solution

The fourth proportional to 297,455.88, 446,016.13 and 97,722.64 is: 146,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,455.88 : 446,016.13 = 97,722.64 : x
  2. Step 2: Convert to fraction form
    297,455.88/446,016.13 = 97,722.64/x
  3. Step 3: Cross multiply
    297,455.88x = 446,016.13 × 97,722.64
  4. Step 4: Simplify right side
    297,455.88x = 43,585,873,706.18
  5. Step 5: Solve for x
    x = 43,585,873,706.18/297,455.88
  6. Step 6: Final answer
    x = 146,528.87

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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.