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Finding the Fourth Proportional to 297,814.40, 446,721.60 and 171,843.20

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Solution

The fourth proportional to 297,814.40, 446,721.60 and 171,843.20 is: 257,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,814.40 : 446,721.60 = 171,843.20 : x
  2. Step 2: Convert to fraction form
    297,814.40/446,721.60 = 171,843.20/x
  3. Step 3: Cross multiply
    297,814.40x = 446,721.60 × 171,843.20
  4. Step 4: Simplify right side
    297,814.40x = 76,766,069,253.12
  5. Step 5: Solve for x
    x = 76,766,069,253.12/297,814.40
  6. Step 6: Final answer
    x = 257,764.80

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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.