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Finding the Fourth Proportional to 342,588.74, 472,760.40 and 189,627.23

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Solution

The fourth proportional to 342,588.74, 472,760.40 and 189,627.23 is: 261,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,588.74 : 472,760.40 = 189,627.23 : x
  2. Step 2: Convert to fraction form
    342,588.74/472,760.40 = 189,627.23/x
  3. Step 3: Cross multiply
    342,588.74x = 472,760.40 × 189,627.23
  4. Step 4: Simplify right side
    342,588.74x = 89,648,245,105.69
  5. Step 5: Solve for x
    x = 89,648,245,105.69/342,588.74
  6. Step 6: Final answer
    x = 261,678.90

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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.