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Finding the Fourth Proportional to 363,234, 544,851 and 100,578

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Solution

The fourth proportional to 363,234, 544,851 and 100,578 is: 150,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,234 : 544,851 = 100,578 : x
  2. Step 2: Convert to fraction form
    363,234/544,851 = 100,578/x
  3. Step 3: Cross multiply
    363,234x = 544,851 × 100,578
  4. Step 4: Simplify right side
    363,234x = 54,800,023,878
  5. Step 5: Solve for x
    x = 54,800,023,878/363,234
  6. Step 6: Final answer
    x = 150,867

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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.