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Finding the Fourth Proportional to 470,610.32, 705,932.03 and 150,771.90

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Solution

The fourth proportional to 470,610.32, 705,932.03 and 150,771.90 is: 226,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,610.32 : 705,932.03 = 150,771.90 : x
  2. Step 2: Convert to fraction form
    470,610.32/705,932.03 = 150,771.90/x
  3. Step 3: Cross multiply
    470,610.32x = 705,932.03 × 150,771.90
  4. Step 4: Simplify right side
    470,610.32x = 106,434,713,810.89
  5. Step 5: Solve for x
    x = 106,434,713,810.89/470,610.32
  6. Step 6: Final answer
    x = 226,163.15

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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.