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Finding the Fourth Proportional to 284,632.92, 426,948.84 and 267,311.88

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Solution

The fourth proportional to 284,632.92, 426,948.84 and 267,311.88 is: 400,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,632.92 : 426,948.84 = 267,311.88 : x
  2. Step 2: Convert to fraction form
    284,632.92/426,948.84 = 267,311.88/x
  3. Step 3: Cross multiply
    284,632.92x = 426,948.84 × 267,311.88
  4. Step 4: Simplify right side
    284,632.92x = 114,128,497,084.22
  5. Step 5: Solve for x
    x = 114,128,497,084.22/284,632.92
  6. Step 6: Final answer
    x = 400,967.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.