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Finding the Fourth Proportional to 442,993.35, 664,982.10 and 274,703.70

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Solution

The fourth proportional to 442,993.35, 664,982.10 and 274,703.70 is: 412,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.35 : 664,982.10 = 274,703.70 : x
  2. Step 2: Convert to fraction form
    442,993.35/664,982.10 = 274,703.70/x
  3. Step 3: Cross multiply
    442,993.35x = 664,982.10 × 274,703.70
  4. Step 4: Simplify right side
    442,993.35x = 182,673,043,303.77
  5. Step 5: Solve for x
    x = 182,673,043,303.77/442,993.35
  6. Step 6: Final answer
    x = 412,360.69

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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.