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Finding the Fourth Proportional to 338,096, 466,587.06 and 187,193

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Solution

The fourth proportional to 338,096, 466,587.06 and 187,193 is: 258,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,096 : 466,587.06 = 187,193 : x
  2. Step 2: Convert to fraction form
    338,096/466,587.06 = 187,193/x
  3. Step 3: Cross multiply
    338,096x = 466,587.06 × 187,193
  4. Step 4: Simplify right side
    338,096x = 87,341,831,522.58
  5. Step 5: Solve for x
    x = 87,341,831,522.58/338,096
  6. Step 6: Final answer
    x = 258,334.41

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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.