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Finding the Fourth Proportional to 338,338.89, 507,349.37 and 196,224.53

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Solution

The fourth proportional to 338,338.89, 507,349.37 and 196,224.53 is: 294,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,338.89 : 507,349.37 = 196,224.53 : x
  2. Step 2: Convert to fraction form
    338,338.89/507,349.37 = 196,224.53/x
  3. Step 3: Cross multiply
    338,338.89x = 507,349.37 × 196,224.53
  4. Step 4: Simplify right side
    338,338.89x = 99,554,389,627.86
  5. Step 5: Solve for x
    x = 99,554,389,627.86/338,338.89
  6. Step 6: Final answer
    x = 294,244.59

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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.