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Finding the Fourth Proportional to 620,196.94, 929,704.90 and 199,177.57

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Solution

The fourth proportional to 620,196.94, 929,704.90 and 199,177.57 is: 298,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,196.94 : 929,704.90 = 199,177.57 : x
  2. Step 2: Convert to fraction form
    620,196.94/929,704.90 = 199,177.57/x
  3. Step 3: Cross multiply
    620,196.94x = 929,704.90 × 199,177.57
  4. Step 4: Simplify right side
    620,196.94x = 185,176,362,799.09
  5. Step 5: Solve for x
    x = 185,176,362,799.09/620,196.94
  6. Step 6: Final answer
    x = 298,576.71

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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.