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Finding the Fourth Proportional to 600,163.35, 899,324.70 and 407,792.78

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Solution

The fourth proportional to 600,163.35, 899,324.70 and 407,792.78 is: 611,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,163.35 : 899,324.70 = 407,792.78 : x
  2. Step 2: Convert to fraction form
    600,163.35/899,324.70 = 407,792.78/x
  3. Step 3: Cross multiply
    600,163.35x = 899,324.70 × 407,792.78
  4. Step 4: Simplify right side
    600,163.35x = 366,738,113,000.08
  5. Step 5: Solve for x
    x = 366,738,113,000.08/600,163.35
  6. Step 6: Final answer
    x = 611,063.83

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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.