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Finding the Fourth Proportional to 298,739.09, 412,254.74 and 162,774.15

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Solution

The fourth proportional to 298,739.09, 412,254.74 and 162,774.15 is: 224,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.09 : 412,254.74 = 162,774.15 : x
  2. Step 2: Convert to fraction form
    298,739.09/412,254.74 = 162,774.15/x
  3. Step 3: Cross multiply
    298,739.09x = 412,254.74 × 162,774.15
  4. Step 4: Simplify right side
    298,739.09x = 67,104,414,449.62
  5. Step 5: Solve for x
    x = 67,104,414,449.62/298,739.09
  6. Step 6: Final answer
    x = 224,625.49

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Why These Related Problems?

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