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Finding the Fourth Proportional to 309,818.27, 427,564.76 and 193,601.93

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Solution

The fourth proportional to 309,818.27, 427,564.76 and 193,601.93 is: 267,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,818.27 : 427,564.76 = 193,601.93 : x
  2. Step 2: Convert to fraction form
    309,818.27/427,564.76 = 193,601.93/x
  3. Step 3: Cross multiply
    309,818.27x = 427,564.76 × 193,601.93
  4. Step 4: Simplify right side
    309,818.27x = 82,777,363,124.22
  5. Step 5: Solve for x
    x = 82,777,363,124.22/309,818.27
  6. Step 6: Final answer
    x = 267,180.38

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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.