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Finding the Fourth Proportional to 470,162.24, 705,243.36 and 137,738.24

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Solution

The fourth proportional to 470,162.24, 705,243.36 and 137,738.24 is: 206,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,162.24 : 705,243.36 = 137,738.24 : x
  2. Step 2: Convert to fraction form
    470,162.24/705,243.36 = 137,738.24/x
  3. Step 3: Cross multiply
    470,162.24x = 705,243.36 × 137,738.24
  4. Step 4: Simplify right side
    470,162.24x = 97,138,979,178.09
  5. Step 5: Solve for x
    x = 97,138,979,178.09/470,162.24
  6. Step 6: Final answer
    x = 206,607.36

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Similar ratio
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1.5x scale

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.