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Finding the Fourth Proportional to 297,815.10, 446,722.65 and 213,834.30

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Solution

The fourth proportional to 297,815.10, 446,722.65 and 213,834.30 is: 320,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,815.10 : 446,722.65 = 213,834.30 : x
  2. Step 2: Convert to fraction form
    297,815.10/446,722.65 = 213,834.30/x
  3. Step 3: Cross multiply
    297,815.10x = 446,722.65 × 213,834.30
  4. Step 4: Simplify right side
    297,815.10x = 95,524,625,156.90
  5. Step 5: Solve for x
    x = 95,524,625,156.90/297,815.10
  6. Step 6: Final answer
    x = 320,751.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.