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Finding the Fourth Proportional to 313,766.60, 470,548.78 and 103,354.44

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Solution

The fourth proportional to 313,766.60, 470,548.78 and 103,354.44 is: 154,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,766.60 : 470,548.78 = 103,354.44 : x
  2. Step 2: Convert to fraction form
    313,766.60/470,548.78 = 103,354.44/x
  3. Step 3: Cross multiply
    313,766.60x = 470,548.78 × 103,354.44
  4. Step 4: Simplify right side
    313,766.60x = 48,633,305,649.58
  5. Step 5: Solve for x
    x = 48,633,305,649.58/313,766.60
  6. Step 6: Final answer
    x = 154,998.35

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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.