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Finding the Fourth Proportional to 633,403.88, 950,193.30 and 212,800.04

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Solution

The fourth proportional to 633,403.88, 950,193.30 and 212,800.04 is: 319,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,403.88 : 950,193.30 = 212,800.04 : x
  2. Step 2: Convert to fraction form
    633,403.88/950,193.30 = 212,800.04/x
  3. Step 3: Cross multiply
    633,403.88x = 950,193.30 × 212,800.04
  4. Step 4: Simplify right side
    633,403.88x = 202,201,172,247.73
  5. Step 5: Solve for x
    x = 202,201,172,247.73/633,403.88
  6. Step 6: Final answer
    x = 319,229.45

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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.