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Finding the Fourth Proportional to 471,055.86, 650,176.20 and 267,228.27

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Solution

The fourth proportional to 471,055.86, 650,176.20 and 267,228.27 is: 368,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,055.86 : 650,176.20 = 267,228.27 : x
  2. Step 2: Convert to fraction form
    471,055.86/650,176.20 = 267,228.27/x
  3. Step 3: Cross multiply
    471,055.86x = 650,176.20 × 267,228.27
  4. Step 4: Simplify right side
    471,055.86x = 173,745,461,121.17
  5. Step 5: Solve for x
    x = 173,745,461,121.17/471,055.86
  6. Step 6: Final answer
    x = 368,842.59

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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.