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Finding the Fourth Proportional to 299,962.92, 449,967.58 and 100,284.04

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Solution

The fourth proportional to 299,962.92, 449,967.58 and 100,284.04 is: 150,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,962.92 : 449,967.58 = 100,284.04 : x
  2. Step 2: Convert to fraction form
    299,962.92/449,967.58 = 100,284.04/x
  3. Step 3: Cross multiply
    299,962.92x = 449,967.58 × 100,284.04
  4. Step 4: Simplify right side
    299,962.92x = 45,124,566,791.42
  5. Step 5: Solve for x
    x = 45,124,566,791.42/299,962.92
  6. Step 6: Final answer
    x = 150,433.82

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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.