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Finding the Fourth Proportional to 359,738.22, 496,408.93 and 204,648.26

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Solution

The fourth proportional to 359,738.22, 496,408.93 and 204,648.26 is: 282,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,738.22 : 496,408.93 = 204,648.26 : x
  2. Step 2: Convert to fraction form
    359,738.22/496,408.93 = 204,648.26/x
  3. Step 3: Cross multiply
    359,738.22x = 496,408.93 × 204,648.26
  4. Step 4: Simplify right side
    359,738.22x = 101,589,223,772.96
  5. Step 5: Solve for x
    x = 101,589,223,772.96/359,738.22
  6. Step 6: Final answer
    x = 282,397.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.