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Finding the Fourth Proportional to 482,448, 665,773.76 and 267,588.48

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Solution

The fourth proportional to 482,448, 665,773.76 and 267,588.48 is: 369,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,448 : 665,773.76 = 267,588.48 : x
  2. Step 2: Convert to fraction form
    482,448/665,773.76 = 267,588.48/x
  3. Step 3: Cross multiply
    482,448x = 665,773.76 × 267,588.48
  4. Step 4: Simplify right side
    482,448x = 178,153,388,462.29
  5. Step 5: Solve for x
    x = 178,153,388,462.29/482,448
  6. Step 6: Final answer
    x = 369,269.62

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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.