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Finding the Fourth Proportional to 440,437.46, 660,660.08 and 174,198

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Solution

The fourth proportional to 440,437.46, 660,660.08 and 174,198 is: 261,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,437.46 : 660,660.08 = 174,198 : x
  2. Step 2: Convert to fraction form
    440,437.46/660,660.08 = 174,198/x
  3. Step 3: Cross multiply
    440,437.46x = 660,660.08 × 174,198
  4. Step 4: Simplify right side
    440,437.46x = 115,085,663,744.85
  5. Step 5: Solve for x
    x = 115,085,663,744.85/440,437.46
  6. Step 6: Final answer
    x = 261,298.54

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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.