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Finding the Fourth Proportional to 491,922.32, 678,835.08 and 277,082.37

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Solution

The fourth proportional to 491,922.32, 678,835.08 and 277,082.37 is: 382,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,922.32 : 678,835.08 = 277,082.37 : x
  2. Step 2: Convert to fraction form
    491,922.32/678,835.08 = 277,082.37/x
  3. Step 3: Cross multiply
    491,922.32x = 678,835.08 × 277,082.37
  4. Step 4: Simplify right side
    491,922.32x = 188,093,232,805.54
  5. Step 5: Solve for x
    x = 188,093,232,805.54/491,922.32
  6. Step 6: Final answer
    x = 382,363.69

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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.