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Finding the Fourth Proportional to 338,857.83, 508,123.06 and 196,738.84

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Solution

The fourth proportional to 338,857.83, 508,123.06 and 196,738.84 is: 295,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,857.83 : 508,123.06 = 196,738.84 : x
  2. Step 2: Convert to fraction form
    338,857.83/508,123.06 = 196,738.84/x
  3. Step 3: Cross multiply
    338,857.83x = 508,123.06 × 196,738.84
  4. Step 4: Simplify right side
    338,857.83x = 99,967,541,544.96
  5. Step 5: Solve for x
    x = 99,967,541,544.96/338,857.83
  6. Step 6: Final answer
    x = 295,013.23

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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.