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Finding the Fourth Proportional to 298,712.36, 412,203.84 and 177,862.52

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Solution

The fourth proportional to 298,712.36, 412,203.84 and 177,862.52 is: 245,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712.36 : 412,203.84 = 177,862.52 : x
  2. Step 2: Convert to fraction form
    298,712.36/412,203.84 = 177,862.52/x
  3. Step 3: Cross multiply
    298,712.36x = 412,203.84 × 177,862.52
  4. Step 4: Simplify right side
    298,712.36x = 73,315,614,099.60
  5. Step 5: Solve for x
    x = 73,315,614,099.60/298,712.36
  6. Step 6: Final answer
    x = 245,438.83

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