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Finding the Fourth Proportional to 655,097.76, 982,653.12 and 276,082.56

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Solution

The fourth proportional to 655,097.76, 982,653.12 and 276,082.56 is: 414,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,097.76 : 982,653.12 = 276,082.56 : x
  2. Step 2: Convert to fraction form
    655,097.76/982,653.12 = 276,082.56/x
  3. Step 3: Cross multiply
    655,097.76x = 982,653.12 × 276,082.56
  4. Step 4: Simplify right side
    655,097.76x = 271,293,388,961.59
  5. Step 5: Solve for x
    x = 271,293,388,961.59/655,097.76
  6. Step 6: Final answer
    x = 414,126.57

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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.