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Finding the Fourth Proportional to 313,961.96, 470,959.30 and 103,616.30

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Solution

The fourth proportional to 313,961.96, 470,959.30 and 103,616.30 is: 155,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,961.96 : 470,959.30 = 103,616.30 : x
  2. Step 2: Convert to fraction form
    313,961.96/470,959.30 = 103,616.30/x
  3. Step 3: Cross multiply
    313,961.96x = 470,959.30 × 103,616.30
  4. Step 4: Simplify right side
    313,961.96x = 48,799,060,116.59
  5. Step 5: Solve for x
    x = 48,799,060,116.59/313,961.96
  6. Step 6: Final answer
    x = 155,429.85

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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.