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Finding the Fourth Proportional to 307,401, 424,563.30 and 206,624.04

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Solution

The fourth proportional to 307,401, 424,563.30 and 206,624.04 is: 285,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,401 : 424,563.30 = 206,624.04 : x
  2. Step 2: Convert to fraction form
    307,401/424,563.30 = 206,624.04/x
  3. Step 3: Cross multiply
    307,401x = 424,563.30 × 206,624.04
  4. Step 4: Simplify right side
    307,401x = 87,724,984,281.73
  5. Step 5: Solve for x
    x = 87,724,984,281.73/307,401
  6. Step 6: Final answer
    x = 285,376.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.