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Finding the Fourth Proportional to 412,924.40, 619,751.10 and 244,233.80

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Solution

The fourth proportional to 412,924.40, 619,751.10 and 244,233.80 is: 366,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,924.40 : 619,751.10 = 244,233.80 : x
  2. Step 2: Convert to fraction form
    412,924.40/619,751.10 = 244,233.80/x
  3. Step 3: Cross multiply
    412,924.40x = 619,751.10 × 244,233.80
  4. Step 4: Simplify right side
    412,924.40x = 151,364,166,207.18
  5. Step 5: Solve for x
    x = 151,364,166,207.18/412,924.40
  6. Step 6: Final answer
    x = 366,566.29

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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.