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Finding the Fourth Proportional to 471,019.12, 649,992.48 and 267,088.66

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Solution

The fourth proportional to 471,019.12, 649,992.48 and 267,088.66 is: 368,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,019.12 : 649,992.48 = 267,088.66 : x
  2. Step 2: Convert to fraction form
    471,019.12/649,992.48 = 267,088.66/x
  3. Step 3: Cross multiply
    471,019.12x = 649,992.48 × 267,088.66
  4. Step 4: Simplify right side
    471,019.12x = 173,605,620,493.28
  5. Step 5: Solve for x
    x = 173,605,620,493.28/471,019.12
  6. Step 6: Final answer
    x = 368,574.47

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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.