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Finding the Fourth Proportional to 658,850.50, 909,311.22 and 417,155.56

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Solution

The fourth proportional to 658,850.50, 909,311.22 and 417,155.56 is: 575,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,850.50 : 909,311.22 = 417,155.56 : x
  2. Step 2: Convert to fraction form
    658,850.50/909,311.22 = 417,155.56/x
  3. Step 3: Cross multiply
    658,850.50x = 909,311.22 × 417,155.56
  4. Step 4: Simplify right side
    658,850.50x = 379,324,231,193.38
  5. Step 5: Solve for x
    x = 379,324,231,193.38/658,850.50
  6. Step 6: Final answer
    x = 575,736.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.