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Finding the Fourth Proportional to 471,000.66, 649,961.21 and 267,065.40

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Solution

The fourth proportional to 471,000.66, 649,961.21 and 267,065.40 is: 368,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,000.66 : 649,961.21 = 267,065.40 : x
  2. Step 2: Convert to fraction form
    471,000.66/649,961.21 = 267,065.40/x
  3. Step 3: Cross multiply
    471,000.66x = 649,961.21 × 267,065.40
  4. Step 4: Simplify right side
    471,000.66x = 173,582,153,638.15
  5. Step 5: Solve for x
    x = 173,582,153,638.15/471,000.66
  6. Step 6: Final answer
    x = 368,539.09

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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.