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Finding the Fourth Proportional to 297,815.40, 446,744.70 and 179,231.40

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Solution

The fourth proportional to 297,815.40, 446,744.70 and 179,231.40 is: 268,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,815.40 : 446,744.70 = 179,231.40 : x
  2. Step 2: Convert to fraction form
    297,815.40/446,744.70 = 179,231.40/x
  3. Step 3: Cross multiply
    297,815.40x = 446,744.70 × 179,231.40
  4. Step 4: Simplify right side
    297,815.40x = 80,070,678,023.58
  5. Step 5: Solve for x
    x = 80,070,678,023.58/297,815.40
  6. Step 6: Final answer
    x = 268,860.10

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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.