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Finding the Fourth Proportional to 297,468, 446,272.56 and 100,476

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Solution

The fourth proportional to 297,468, 446,272.56 and 100,476 is: 150,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,468 : 446,272.56 = 100,476 : x
  2. Step 2: Convert to fraction form
    297,468/446,272.56 = 100,476/x
  3. Step 3: Cross multiply
    297,468x = 446,272.56 × 100,476
  4. Step 4: Simplify right side
    297,468x = 44,839,681,738.56
  5. Step 5: Solve for x
    x = 44,839,681,738.56/297,468
  6. Step 6: Final answer
    x = 150,737.83

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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.