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Finding the Fourth Proportional to 307,817.38, 424,795.15 and 193,100.86

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Solution

The fourth proportional to 307,817.38, 424,795.15 and 193,100.86 is: 266,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,817.38 : 424,795.15 = 193,100.86 : x
  2. Step 2: Convert to fraction form
    307,817.38/424,795.15 = 193,100.86/x
  3. Step 3: Cross multiply
    307,817.38x = 424,795.15 × 193,100.86
  4. Step 4: Simplify right side
    307,817.38x = 82,028,309,561.20
  5. Step 5: Solve for x
    x = 82,028,309,561.20/307,817.38
  6. Step 6: Final answer
    x = 266,483.68

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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.