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Finding the Fourth Proportional to 471,014.49, 649,986.10 and 267,084.03

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Solution

The fourth proportional to 471,014.49, 649,986.10 and 267,084.03 is: 368,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,014.49 : 649,986.10 = 267,084.03 : x
  2. Step 2: Convert to fraction form
    471,014.49/649,986.10 = 267,084.03/x
  3. Step 3: Cross multiply
    471,014.49x = 649,986.10 × 267,084.03
  4. Step 4: Simplify right side
    471,014.49x = 173,600,907,031.98
  5. Step 5: Solve for x
    x = 173,600,907,031.98/471,014.49
  6. Step 6: Final answer
    x = 368,568.08

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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.