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Finding the Fourth Proportional to 363,233, 544,849.50 and 100,577

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Solution

The fourth proportional to 363,233, 544,849.50 and 100,577 is: 150,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,233 : 544,849.50 = 100,577 : x
  2. Step 2: Convert to fraction form
    363,233/544,849.50 = 100,577/x
  3. Step 3: Cross multiply
    363,233x = 544,849.50 × 100,577
  4. Step 4: Simplify right side
    363,233x = 54,799,328,161.50
  5. Step 5: Solve for x
    x = 54,799,328,161.50/363,233
  6. Step 6: Final answer
    x = 150,865.50

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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.