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Finding the Fourth Proportional to 298,739.23, 412,254.92 and 162,774.30

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Solution

The fourth proportional to 298,739.23, 412,254.92 and 162,774.30 is: 224,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.23 : 412,254.92 = 162,774.30 : x
  2. Step 2: Convert to fraction form
    298,739.23/412,254.92 = 162,774.30/x
  3. Step 3: Cross multiply
    298,739.23x = 412,254.92 × 162,774.30
  4. Step 4: Simplify right side
    298,739.23x = 67,104,505,210.68
  5. Step 5: Solve for x
    x = 67,104,505,210.68/298,739.23
  6. Step 6: Final answer
    x = 224,625.69

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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.