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Finding the Fourth Proportional to 470,163.24, 705,244.86 and 137,739.24

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Solution

The fourth proportional to 470,163.24, 705,244.86 and 137,739.24 is: 206,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,163.24 : 705,244.86 = 137,739.24 : x
  2. Step 2: Convert to fraction form
    470,163.24/705,244.86 = 137,739.24/x
  3. Step 3: Cross multiply
    470,163.24x = 705,244.86 × 137,739.24
  4. Step 4: Simplify right side
    470,163.24x = 97,139,891,030.31
  5. Step 5: Solve for x
    x = 97,139,891,030.31/470,163.24
  6. Step 6: Final answer
    x = 206,608.86

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Similar ratio
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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.