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Finding the Fourth Proportional to 307,744.70, 460,839.45 and 201,991.10

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Solution

The fourth proportional to 307,744.70, 460,839.45 and 201,991.10 is: 302,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,744.70 : 460,839.45 = 201,991.10 : x
  2. Step 2: Convert to fraction form
    307,744.70/460,839.45 = 201,991.10/x
  3. Step 3: Cross multiply
    307,744.70x = 460,839.45 × 201,991.10
  4. Step 4: Simplify right side
    307,744.70x = 93,085,467,428.90
  5. Step 5: Solve for x
    x = 93,085,467,428.90/307,744.70
  6. Step 6: Final answer
    x = 302,476.26

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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.