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Finding the Fourth Proportional to 296,057.30, 444,091.44 and 96,377

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Solution

The fourth proportional to 296,057.30, 444,091.44 and 96,377 is: 144,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.30 : 444,091.44 = 96,377 : x
  2. Step 2: Convert to fraction form
    296,057.30/444,091.44 = 96,377/x
  3. Step 3: Cross multiply
    296,057.30x = 444,091.44 × 96,377
  4. Step 4: Simplify right side
    296,057.30x = 42,800,200,712.88
  5. Step 5: Solve for x
    x = 42,800,200,712.88/296,057.30
  6. Step 6: Final answer
    x = 144,567.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.