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Finding the Fourth Proportional to 313,873.56, 470,743.92 and 103,461.48

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Solution

The fourth proportional to 313,873.56, 470,743.92 and 103,461.48 is: 155,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,873.56 : 470,743.92 = 103,461.48 : x
  2. Step 2: Convert to fraction form
    313,873.56/470,743.92 = 103,461.48/x
  3. Step 3: Cross multiply
    313,873.56x = 470,743.92 × 103,461.48
  4. Step 4: Simplify right side
    313,873.56x = 48,703,862,664.20
  5. Step 5: Solve for x
    x = 48,703,862,664.20/313,873.56
  6. Step 6: Final answer
    x = 155,170.33

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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.