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Finding the Fourth Proportional to 297,833.80, 446,750.70 and 171,425.20

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Solution

The fourth proportional to 297,833.80, 446,750.70 and 171,425.20 is: 257,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.80 : 446,750.70 = 171,425.20 : x
  2. Step 2: Convert to fraction form
    297,833.80/446,750.70 = 171,425.20/x
  3. Step 3: Cross multiply
    297,833.80x = 446,750.70 × 171,425.20
  4. Step 4: Simplify right side
    297,833.80x = 76,584,328,097.64
  5. Step 5: Solve for x
    x = 76,584,328,097.64/297,833.80
  6. Step 6: Final answer
    x = 257,137.80

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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.