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Finding the Fourth Proportional to 342,911.41, 514,028.25 and 162,680.42

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Solution

The fourth proportional to 342,911.41, 514,028.25 and 162,680.42 is: 243,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,911.41 : 514,028.25 = 162,680.42 : x
  2. Step 2: Convert to fraction form
    342,911.41/514,028.25 = 162,680.42/x
  3. Step 3: Cross multiply
    342,911.41x = 514,028.25 × 162,680.42
  4. Step 4: Simplify right side
    342,911.41x = 83,622,332,886.94
  5. Step 5: Solve for x
    x = 83,622,332,886.94/342,911.41
  6. Step 6: Final answer
    x = 243,859.87

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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.