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Finding the Fourth Proportional to 297,660.80, 446,644.30 and 164,516.24

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Solution

The fourth proportional to 297,660.80, 446,644.30 and 164,516.24 is: 246,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,660.80 : 446,644.30 = 164,516.24 : x
  2. Step 2: Convert to fraction form
    297,660.80/446,644.30 = 164,516.24/x
  3. Step 3: Cross multiply
    297,660.80x = 446,644.30 × 164,516.24
  4. Step 4: Simplify right side
    297,660.80x = 73,480,240,853.43
  5. Step 5: Solve for x
    x = 73,480,240,853.43/297,660.80
  6. Step 6: Final answer
    x = 246,858.98

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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.