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Finding the Fourth Proportional to 439,149.87, 658,216.40 and 201,994.83

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Solution

The fourth proportional to 439,149.87, 658,216.40 and 201,994.83 is: 302,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,149.87 : 658,216.40 = 201,994.83 : x
  2. Step 2: Convert to fraction form
    439,149.87/658,216.40 = 201,994.83/x
  3. Step 3: Cross multiply
    439,149.87x = 658,216.40 × 201,994.83
  4. Step 4: Simplify right side
    439,149.87x = 132,956,308,811.24
  5. Step 5: Solve for x
    x = 132,956,308,811.24/439,149.87
  6. Step 6: Final answer
    x = 302,758.39

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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.