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Finding the Fourth Proportional to 471,002.88, 649,792.32 and 267,010.56

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Solution

The fourth proportional to 471,002.88, 649,792.32 and 267,010.56 is: 368,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,002.88 : 649,792.32 = 267,010.56 : x
  2. Step 2: Convert to fraction form
    471,002.88/649,792.32 = 267,010.56/x
  3. Step 3: Cross multiply
    471,002.88x = 649,792.32 × 267,010.56
  4. Step 4: Simplify right side
    471,002.88x = 173,501,411,246.90
  5. Step 5: Solve for x
    x = 173,501,411,246.90/471,002.88
  6. Step 6: Final answer
    x = 368,365.92

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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.