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Finding the Fourth Proportional to 313,602.48, 470,474.28 and 103,232.88

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Solution

The fourth proportional to 313,602.48, 470,474.28 and 103,232.88 is: 154,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,602.48 : 470,474.28 = 103,232.88 : x
  2. Step 2: Convert to fraction form
    313,602.48/470,474.28 = 103,232.88/x
  3. Step 3: Cross multiply
    313,602.48x = 470,474.28 × 103,232.88
  4. Step 4: Simplify right side
    313,602.48x = 48,568,414,890.33
  5. Step 5: Solve for x
    x = 48,568,414,890.33/313,602.48
  6. Step 6: Final answer
    x = 154,872.55

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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.