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Finding the Fourth Proportional to 413,818.84, 620,715.96 and 114,317.44

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Solution

The fourth proportional to 413,818.84, 620,715.96 and 114,317.44 is: 171,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,818.84 : 620,715.96 = 114,317.44 : x
  2. Step 2: Convert to fraction form
    413,818.84/620,715.96 = 114,317.44/x
  3. Step 3: Cross multiply
    413,818.84x = 620,715.96 × 114,317.44
  4. Step 4: Simplify right side
    413,818.84x = 70,958,659,514.34
  5. Step 5: Solve for x
    x = 70,958,659,514.34/413,818.84
  6. Step 6: Final answer
    x = 171,472.76

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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.