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Finding the Fourth Proportional to 413,853.11, 620,773.50 and 114,327.05

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Solution

The fourth proportional to 413,853.11, 620,773.50 and 114,327.05 is: 171,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,853.11 : 620,773.50 = 114,327.05 : x
  2. Step 2: Convert to fraction form
    413,853.11/620,773.50 = 114,327.05/x
  3. Step 3: Cross multiply
    413,853.11x = 620,773.50 × 114,327.05
  4. Step 4: Simplify right side
    413,853.11x = 70,971,199,869.31
  5. Step 5: Solve for x
    x = 70,971,199,869.31/413,853.11
  6. Step 6: Final answer
    x = 171,488.87

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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.