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Finding the Fourth Proportional to 296,418.22, 444,698.07 and 96,738.98

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Solution

The fourth proportional to 296,418.22, 444,698.07 and 96,738.98 is: 145,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,418.22 : 444,698.07 = 96,738.98 : x
  2. Step 2: Convert to fraction form
    296,418.22/444,698.07 = 96,738.98/x
  3. Step 3: Cross multiply
    296,418.22x = 444,698.07 × 96,738.98
  4. Step 4: Simplify right side
    296,418.22x = 43,019,637,699.77
  5. Step 5: Solve for x
    x = 43,019,637,699.77/296,418.22
  6. Step 6: Final answer
    x = 145,131.56

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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.