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Finding the Fourth Proportional to 413,930.70, 620,896.05 and 335,198.70

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Solution

The fourth proportional to 413,930.70, 620,896.05 and 335,198.70 is: 502,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,930.70 : 620,896.05 = 335,198.70 : x
  2. Step 2: Convert to fraction form
    413,930.70/620,896.05 = 335,198.70/x
  3. Step 3: Cross multiply
    413,930.70x = 620,896.05 × 335,198.70
  4. Step 4: Simplify right side
    413,930.70x = 208,123,548,795.14
  5. Step 5: Solve for x
    x = 208,123,548,795.14/413,930.70
  6. Step 6: Final answer
    x = 502,798.05

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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.