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Finding the Fourth Proportional to 530,401.80, 795,651.30 and 214,793.40

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Solution

The fourth proportional to 530,401.80, 795,651.30 and 214,793.40 is: 322,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,401.80 : 795,651.30 = 214,793.40 : x
  2. Step 2: Convert to fraction form
    530,401.80/795,651.30 = 214,793.40/x
  3. Step 3: Cross multiply
    530,401.80x = 795,651.30 × 214,793.40
  4. Step 4: Simplify right side
    530,401.80x = 170,900,647,941.42
  5. Step 5: Solve for x
    x = 170,900,647,941.42/530,401.80
  6. Step 6: Final answer
    x = 322,209.78

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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.