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Finding the Fourth Proportional to 313,387.50, 470,268.05 and 113,723.47

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Solution

The fourth proportional to 313,387.50, 470,268.05 and 113,723.47 is: 170,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,387.50 : 470,268.05 = 113,723.47 : x
  2. Step 2: Convert to fraction form
    313,387.50/470,268.05 = 113,723.47/x
  3. Step 3: Cross multiply
    313,387.50x = 470,268.05 × 113,723.47
  4. Step 4: Simplify right side
    313,387.50x = 53,480,512,731.85
  5. Step 5: Solve for x
    x = 53,480,512,731.85/313,387.50
  6. Step 6: Final answer
    x = 170,652.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.