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Finding the Fourth Proportional to 412,143.84, 568,953.28 and 276,266.54

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Solution

The fourth proportional to 412,143.84, 568,953.28 and 276,266.54 is: 381,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,143.84 : 568,953.28 = 276,266.54 : x
  2. Step 2: Convert to fraction form
    412,143.84/568,953.28 = 276,266.54/x
  3. Step 3: Cross multiply
    412,143.84x = 568,953.28 × 276,266.54
  4. Step 4: Simplify right side
    412,143.84x = 157,182,754,087.25
  5. Step 5: Solve for x
    x = 157,182,754,087.25/412,143.84
  6. Step 6: Final answer
    x = 381,378.39

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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.