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Finding the Fourth Proportional to 338,729.75, 507,933.74 and 196,618.88

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Solution

The fourth proportional to 338,729.75, 507,933.74 and 196,618.88 is: 294,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,729.75 : 507,933.74 = 196,618.88 : x
  2. Step 2: Convert to fraction form
    338,729.75/507,933.74 = 196,618.88/x
  3. Step 3: Cross multiply
    338,729.75x = 507,933.74 × 196,618.88
  4. Step 4: Simplify right side
    338,729.75x = 99,869,359,550.25
  5. Step 5: Solve for x
    x = 99,869,359,550.25/338,729.75
  6. Step 6: Final answer
    x = 294,834.93

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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.