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Finding the Fourth Proportional to 271,652.76, 407,747.34 and 203,949.32

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Solution

The fourth proportional to 271,652.76, 407,747.34 and 203,949.32 is: 306,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,652.76 : 407,747.34 = 203,949.32 : x
  2. Step 2: Convert to fraction form
    271,652.76/407,747.34 = 203,949.32/x
  3. Step 3: Cross multiply
    271,652.76x = 407,747.34 × 203,949.32
  4. Step 4: Simplify right side
    271,652.76x = 83,159,792,724.81
  5. Step 5: Solve for x
    x = 83,159,792,724.81/271,652.76
  6. Step 6: Final answer
    x = 306,125.34

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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.