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Finding the Fourth Proportional to 470,611.32, 705,933.53 and 150,772.90

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Solution

The fourth proportional to 470,611.32, 705,933.53 and 150,772.90 is: 226,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,611.32 : 705,933.53 = 150,772.90 : x
  2. Step 2: Convert to fraction form
    470,611.32/705,933.53 = 150,772.90/x
  3. Step 3: Cross multiply
    470,611.32x = 705,933.53 × 150,772.90
  4. Step 4: Simplify right side
    470,611.32x = 106,435,645,525.34
  5. Step 5: Solve for x
    x = 106,435,645,525.34/470,611.32
  6. Step 6: Final answer
    x = 226,164.65

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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.