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Finding the Fourth Proportional to 471,041.62, 650,023.53 and 267,111.10

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Solution

The fourth proportional to 471,041.62, 650,023.53 and 267,111.10 is: 368,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,041.62 : 650,023.53 = 267,111.10 : x
  2. Step 2: Convert to fraction form
    471,041.62/650,023.53 = 267,111.10/x
  3. Step 3: Cross multiply
    471,041.62x = 650,023.53 × 267,111.10
  4. Step 4: Simplify right side
    471,041.62x = 173,628,500,124.18
  5. Step 5: Solve for x
    x = 173,628,500,124.18/471,041.62
  6. Step 6: Final answer
    x = 368,605.43

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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.