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Finding the Fourth Proportional to 389,849.80, 584,774.70 and 329,024.20

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Solution

The fourth proportional to 389,849.80, 584,774.70 and 329,024.20 is: 493,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,849.80 : 584,774.70 = 329,024.20 : x
  2. Step 2: Convert to fraction form
    389,849.80/584,774.70 = 329,024.20/x
  3. Step 3: Cross multiply
    389,849.80x = 584,774.70 × 329,024.20
  4. Step 4: Simplify right side
    389,849.80x = 192,405,027,847.74
  5. Step 5: Solve for x
    x = 192,405,027,847.74/389,849.80
  6. Step 6: Final answer
    x = 493,536.30

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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.