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Finding the Fourth Proportional to 470,280.67, 705,607.91 and 150,481.80

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Solution

The fourth proportional to 470,280.67, 705,607.91 and 150,481.80 is: 225,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,280.67 : 705,607.91 = 150,481.80 : x
  2. Step 2: Convert to fraction form
    470,280.67/705,607.91 = 150,481.80/x
  3. Step 3: Cross multiply
    470,280.67x = 705,607.91 × 150,481.80
  4. Step 4: Simplify right side
    470,280.67x = 106,181,148,202.94
  5. Step 5: Solve for x
    x = 106,181,148,202.94/470,280.67
  6. Step 6: Final answer
    x = 225,782.51

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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.