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Finding the Fourth Proportional to 471,059.28, 649,915.11 and 267,094.19

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Solution

The fourth proportional to 471,059.28, 649,915.11 and 267,094.19 is: 368,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,059.28 : 649,915.11 = 267,094.19 : x
  2. Step 2: Convert to fraction form
    471,059.28/649,915.11 = 267,094.19/x
  3. Step 3: Cross multiply
    471,059.28x = 649,915.11 × 267,094.19
  4. Step 4: Simplify right side
    471,059.28x = 173,588,551,499.00
  5. Step 5: Solve for x
    x = 173,588,551,499.00/471,059.28
  6. Step 6: Final answer
    x = 368,506.81

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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.