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Finding the Fourth Proportional to 296,415.72, 444,694.32 and 96,736.48

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Solution

The fourth proportional to 296,415.72, 444,694.32 and 96,736.48 is: 145,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,415.72 : 444,694.32 = 96,736.48 : x
  2. Step 2: Convert to fraction form
    296,415.72/444,694.32 = 96,736.48/x
  3. Step 3: Cross multiply
    296,415.72x = 444,694.32 × 96,736.48
  4. Step 4: Simplify right side
    296,415.72x = 43,018,162,081.06
  5. Step 5: Solve for x
    x = 43,018,162,081.06/296,415.72
  6. Step 6: Final answer
    x = 145,127.80

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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.