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Finding the Fourth Proportional to 468,257.84, 646,126.72 and 274,592.31

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Solution

The fourth proportional to 468,257.84, 646,126.72 and 274,592.31 is: 378,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,257.84 : 646,126.72 = 274,592.31 : x
  2. Step 2: Convert to fraction form
    468,257.84/646,126.72 = 274,592.31/x
  3. Step 3: Cross multiply
    468,257.84x = 646,126.72 × 274,592.31
  4. Step 4: Simplify right side
    468,257.84x = 177,421,428,597.52
  5. Step 5: Solve for x
    x = 177,421,428,597.52/468,257.84
  6. Step 6: Final answer
    x = 378,896.87

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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.