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Finding the Fourth Proportional to 470,611.18, 705,933.33 and 150,772.78

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Solution

The fourth proportional to 470,611.18, 705,933.33 and 150,772.78 is: 226,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,611.18 : 705,933.33 = 150,772.78 : x
  2. Step 2: Convert to fraction form
    470,611.18/705,933.33 = 150,772.78/x
  3. Step 3: Cross multiply
    470,611.18x = 705,933.33 × 150,772.78
  4. Step 4: Simplify right side
    470,611.18x = 106,435,526,375.23
  5. Step 5: Solve for x
    x = 106,435,526,375.23/470,611.18
  6. Step 6: Final answer
    x = 226,164.47

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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.