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Finding the Fourth Proportional to 313,769.60, 470,553.28 and 103,357.44

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Solution

The fourth proportional to 313,769.60, 470,553.28 and 103,357.44 is: 155,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,769.60 : 470,553.28 = 103,357.44 : x
  2. Step 2: Convert to fraction form
    313,769.60/470,553.28 = 103,357.44/x
  3. Step 3: Cross multiply
    313,769.60x = 470,553.28 × 103,357.44
  4. Step 4: Simplify right side
    313,769.60x = 48,635,182,404.40
  5. Step 5: Solve for x
    x = 48,635,182,404.40/313,769.60
  6. Step 6: Final answer
    x = 155,002.85

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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.