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Finding the Fourth Proportional to 238,906.32, 357,939.10 and 224,683.54

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Solution

The fourth proportional to 238,906.32, 357,939.10 and 224,683.54 is: 336,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,906.32 : 357,939.10 = 224,683.54 : x
  2. Step 2: Convert to fraction form
    238,906.32/357,939.10 = 224,683.54/x
  3. Step 3: Cross multiply
    238,906.32x = 357,939.10 × 224,683.54
  4. Step 4: Simplify right side
    238,906.32x = 80,423,024,092.41
  5. Step 5: Solve for x
    x = 80,423,024,092.41/238,906.32
  6. Step 6: Final answer
    x = 336,629.96

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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.