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Finding the Fourth Proportional to 298,739.42, 412,255.18 and 162,774.49

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Solution

The fourth proportional to 298,739.42, 412,255.18 and 162,774.49 is: 224,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.42 : 412,255.18 = 162,774.49 : x
  2. Step 2: Convert to fraction form
    298,739.42/412,255.18 = 162,774.49/x
  3. Step 3: Cross multiply
    298,739.42x = 412,255.18 × 162,774.49
  4. Step 4: Simplify right side
    298,739.42x = 67,104,625,860.49
  5. Step 5: Solve for x
    x = 67,104,625,860.49/298,739.42
  6. Step 6: Final answer
    x = 224,625.95

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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.