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Finding the Fourth Proportional to 413,843.15, 620,776.44 and 114,323.78

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Solution

The fourth proportional to 413,843.15, 620,776.44 and 114,323.78 is: 171,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,843.15 : 620,776.44 = 114,323.78 : x
  2. Step 2: Convert to fraction form
    413,843.15/620,776.44 = 114,323.78/x
  3. Step 3: Cross multiply
    413,843.15x = 620,776.44 × 114,323.78
  4. Step 4: Simplify right side
    413,843.15x = 70,969,510,707.68
  5. Step 5: Solve for x
    x = 70,969,510,707.68/413,843.15
  6. Step 6: Final answer
    x = 171,488.91

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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.