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Finding the Fourth Proportional to 598,222.67, 897,733.05 and 310,299.67

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Solution

The fourth proportional to 598,222.67, 897,733.05 and 310,299.67 is: 465,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,222.67 : 897,733.05 = 310,299.67 : x
  2. Step 2: Convert to fraction form
    598,222.67/897,733.05 = 310,299.67/x
  3. Step 3: Cross multiply
    598,222.67x = 897,733.05 × 310,299.67
  4. Step 4: Simplify right side
    598,222.67x = 278,566,269,163.09
  5. Step 5: Solve for x
    x = 278,566,269,163.09/598,222.67
  6. Step 6: Final answer
    x = 465,656.49

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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.