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Finding the Fourth Proportional to 289,977.20, 436,132.20 and 259,650.80

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Solution

The fourth proportional to 289,977.20, 436,132.20 and 259,650.80 is: 390,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,977.20 : 436,132.20 = 259,650.80 : x
  2. Step 2: Convert to fraction form
    289,977.20/436,132.20 = 259,650.80/x
  3. Step 3: Cross multiply
    289,977.20x = 436,132.20 × 259,650.80
  4. Step 4: Simplify right side
    289,977.20x = 113,242,074,635.76
  5. Step 5: Solve for x
    x = 113,242,074,635.76/289,977.20
  6. Step 6: Final answer
    x = 390,520.62

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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.