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Finding the Fourth Proportional to 470,578.80, 705,884.76 and 150,740.40

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Solution

The fourth proportional to 470,578.80, 705,884.76 and 150,740.40 is: 226,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,578.80 : 705,884.76 = 150,740.40 : x
  2. Step 2: Convert to fraction form
    470,578.80/705,884.76 = 150,740.40/x
  3. Step 3: Cross multiply
    470,578.80x = 705,884.76 × 150,740.40
  4. Step 4: Simplify right side
    470,578.80x = 106,405,351,076.30
  5. Step 5: Solve for x
    x = 106,405,351,076.30/470,578.80
  6. Step 6: Final answer
    x = 226,115.90

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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.