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Finding the Fourth Proportional to 413,667.67, 620,503.12 and 273,395.11

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Solution

The fourth proportional to 413,667.67, 620,503.12 and 273,395.11 is: 410,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,667.67 : 620,503.12 = 273,395.11 : x
  2. Step 2: Convert to fraction form
    413,667.67/620,503.12 = 273,395.11/x
  3. Step 3: Cross multiply
    413,667.67x = 620,503.12 × 273,395.11
  4. Step 4: Simplify right side
    413,667.67x = 169,642,514,961.74
  5. Step 5: Solve for x
    x = 169,642,514,961.74/413,667.67
  6. Step 6: Final answer
    x = 410,093.73

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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.