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Finding the Fourth Proportional to 484,541.46, 726,340.05 and 231,755.94

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Solution

The fourth proportional to 484,541.46, 726,340.05 and 231,755.94 is: 347,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,541.46 : 726,340.05 = 231,755.94 : x
  2. Step 2: Convert to fraction form
    484,541.46/726,340.05 = 231,755.94/x
  3. Step 3: Cross multiply
    484,541.46x = 726,340.05 × 231,755.94
  4. Step 4: Simplify right side
    484,541.46x = 168,333,621,047.40
  5. Step 5: Solve for x
    x = 168,333,621,047.40/484,541.46
  6. Step 6: Final answer
    x = 347,408.09

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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.