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Finding the Fourth Proportional to 441,678.80, 662,518.20 and 146,190.80

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Solution

The fourth proportional to 441,678.80, 662,518.20 and 146,190.80 is: 219,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,678.80 : 662,518.20 = 146,190.80 : x
  2. Step 2: Convert to fraction form
    441,678.80/662,518.20 = 146,190.80/x
  3. Step 3: Cross multiply
    441,678.80x = 662,518.20 × 146,190.80
  4. Step 4: Simplify right side
    441,678.80x = 96,854,065,672.56
  5. Step 5: Solve for x
    x = 96,854,065,672.56/441,678.80
  6. Step 6: Final answer
    x = 219,286.20

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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.