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Finding the Fourth Proportional to 481,142.92, 663,972.34 and 266,283.40

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Solution

The fourth proportional to 481,142.92, 663,972.34 and 266,283.40 is: 367,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,142.92 : 663,972.34 = 266,283.40 : x
  2. Step 2: Convert to fraction form
    481,142.92/663,972.34 = 266,283.40/x
  3. Step 3: Cross multiply
    481,142.92x = 663,972.34 × 266,283.40
  4. Step 4: Simplify right side
    481,142.92x = 176,804,812,201.16
  5. Step 5: Solve for x
    x = 176,804,812,201.16/481,142.92
  6. Step 6: Final answer
    x = 367,468.39

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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.