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Finding the Fourth Proportional to 468,087.24, 645,754.87 and 274,396.80

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Solution

The fourth proportional to 468,087.24, 645,754.87 and 274,396.80 is: 378,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,087.24 : 645,754.87 = 274,396.80 : x
  2. Step 2: Convert to fraction form
    468,087.24/645,754.87 = 274,396.80/x
  3. Step 3: Cross multiply
    468,087.24x = 645,754.87 × 274,396.80
  4. Step 4: Simplify right side
    468,087.24x = 177,193,068,540.43
  5. Step 5: Solve for x
    x = 177,193,068,540.43/468,087.24
  6. Step 6: Final answer
    x = 378,547.10

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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.