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Finding the Fourth Proportional to 413,853.08, 620,791.22 and 114,333.71

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Solution

The fourth proportional to 413,853.08, 620,791.22 and 114,333.71 is: 171,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,853.08 : 620,791.22 = 114,333.71 : x
  2. Step 2: Convert to fraction form
    413,853.08/620,791.22 = 114,333.71/x
  3. Step 3: Cross multiply
    413,853.08x = 620,791.22 × 114,333.71
  4. Step 4: Simplify right side
    413,853.08x = 70,977,360,499.90
  5. Step 5: Solve for x
    x = 70,977,360,499.90/413,853.08
  6. Step 6: Final answer
    x = 171,503.76

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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.