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Finding the Fourth Proportional to 296,077, 444,111.36 and 71,435.54

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Solution

The fourth proportional to 296,077, 444,111.36 and 71,435.54 is: 107,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,077 : 444,111.36 = 71,435.54 : x
  2. Step 2: Convert to fraction form
    296,077/444,111.36 = 71,435.54/x
  3. Step 3: Cross multiply
    296,077x = 444,111.36 × 71,435.54
  4. Step 4: Simplify right side
    296,077x = 31,725,334,821.73
  5. Step 5: Solve for x
    x = 31,725,334,821.73/296,077
  6. Step 6: Final answer
    x = 107,152.31

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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.