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Finding the Fourth Proportional to 647,986.20, 971,849.70 and 311,026.20

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Solution

The fourth proportional to 647,986.20, 971,849.70 and 311,026.20 is: 466,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,986.20 : 971,849.70 = 311,026.20 : x
  2. Step 2: Convert to fraction form
    647,986.20/971,849.70 = 311,026.20/x
  3. Step 3: Cross multiply
    647,986.20x = 971,849.70 × 311,026.20
  4. Step 4: Simplify right side
    647,986.20x = 302,270,719,162.14
  5. Step 5: Solve for x
    x = 302,270,719,162.14/647,986.20
  6. Step 6: Final answer
    x = 466,477.09

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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.