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Finding the Fourth Proportional to 252,507.24, 378,824.32 and 72,593

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Solution

The fourth proportional to 252,507.24, 378,824.32 and 72,593 is: 108,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,507.24 : 378,824.32 = 72,593 : x
  2. Step 2: Convert to fraction form
    252,507.24/378,824.32 = 72,593/x
  3. Step 3: Cross multiply
    252,507.24x = 378,824.32 × 72,593
  4. Step 4: Simplify right side
    252,507.24x = 27,499,993,861.76
  5. Step 5: Solve for x
    x = 27,499,993,861.76/252,507.24
  6. Step 6: Final answer
    x = 108,907.74

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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.