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Finding the Fourth Proportional to 313,931.20, 470,896.80 and 251,723.20

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Solution

The fourth proportional to 313,931.20, 470,896.80 and 251,723.20 is: 377,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,931.20 : 470,896.80 = 251,723.20 : x
  2. Step 2: Convert to fraction form
    313,931.20/470,896.80 = 251,723.20/x
  3. Step 3: Cross multiply
    313,931.20x = 470,896.80 × 251,723.20
  4. Step 4: Simplify right side
    313,931.20x = 118,535,649,365.76
  5. Step 5: Solve for x
    x = 118,535,649,365.76/313,931.20
  6. Step 6: Final answer
    x = 377,584.80

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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.