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Finding the Fourth Proportional to 313,778.43, 470,867.81 and 114,079.65

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Solution

The fourth proportional to 313,778.43, 470,867.81 and 114,079.65 is: 171,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,778.43 : 470,867.81 = 114,079.65 : x
  2. Step 2: Convert to fraction form
    313,778.43/470,867.81 = 114,079.65/x
  3. Step 3: Cross multiply
    313,778.43x = 470,867.81 × 114,079.65
  4. Step 4: Simplify right side
    313,778.43x = 53,716,434,390.67
  5. Step 5: Solve for x
    x = 53,716,434,390.67/313,778.43
  6. Step 6: Final answer
    x = 171,192.25

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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.