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Finding the Fourth Proportional to 482,411, 665,727.34 and 267,584.12

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Solution

The fourth proportional to 482,411, 665,727.34 and 267,584.12 is: 369,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,411 : 665,727.34 = 267,584.12 : x
  2. Step 2: Convert to fraction form
    482,411/665,727.34 = 267,584.12/x
  3. Step 3: Cross multiply
    482,411x = 665,727.34 × 267,584.12
  4. Step 4: Simplify right side
    482,411x = 178,138,064,433.84
  5. Step 5: Solve for x
    x = 178,138,064,433.84/482,411
  6. Step 6: Final answer
    x = 369,266.17

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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.