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Finding the Fourth Proportional to 413,372.32, 620,166 and 117,907.36

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Solution

The fourth proportional to 413,372.32, 620,166 and 117,907.36 is: 176,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,372.32 : 620,166 = 117,907.36 : x
  2. Step 2: Convert to fraction form
    413,372.32/620,166 = 117,907.36/x
  3. Step 3: Cross multiply
    413,372.32x = 620,166 × 117,907.36
  4. Step 4: Simplify right side
    413,372.32x = 73,122,135,821.76
  5. Step 5: Solve for x
    x = 73,122,135,821.76/413,372.32
  6. Step 6: Final answer
    x = 176,891.71

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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.