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Finding the Fourth Proportional to 271,724.60, 407,597.95 and 69,325.96

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Solution

The fourth proportional to 271,724.60, 407,597.95 and 69,325.96 is: 103,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,724.60 : 407,597.95 = 69,325.96 : x
  2. Step 2: Convert to fraction form
    271,724.60/407,597.95 = 69,325.96/x
  3. Step 3: Cross multiply
    271,724.60x = 407,597.95 × 69,325.96
  4. Step 4: Simplify right side
    271,724.60x = 28,257,119,177.78
  5. Step 5: Solve for x
    x = 28,257,119,177.78/271,724.60
  6. Step 6: Final answer
    x = 103,991.76

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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.