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Finding the Fourth Proportional to 550,812.60, 824,614.11 and 409,285.44

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Solution

The fourth proportional to 550,812.60, 824,614.11 and 409,285.44 is: 612,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,812.60 : 824,614.11 = 409,285.44 : x
  2. Step 2: Convert to fraction form
    550,812.60/824,614.11 = 409,285.44/x
  3. Step 3: Cross multiply
    550,812.60x = 824,614.11 × 409,285.44
  4. Step 4: Simplify right side
    550,812.60x = 337,502,548,841.56
  5. Step 5: Solve for x
    x = 337,502,548,841.56/550,812.60
  6. Step 6: Final answer
    x = 612,735.71

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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.