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Finding the Fourth Proportional to 298,267.32, 411,600.78 and 164,131.32

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Solution

The fourth proportional to 298,267.32, 411,600.78 and 164,131.32 is: 226,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,267.32 : 411,600.78 = 164,131.32 : x
  2. Step 2: Convert to fraction form
    298,267.32/411,600.78 = 164,131.32/x
  3. Step 3: Cross multiply
    298,267.32x = 411,600.78 × 164,131.32
  4. Step 4: Simplify right side
    298,267.32x = 67,556,579,334.43
  5. Step 5: Solve for x
    x = 67,556,579,334.43/298,267.32
  6. Step 6: Final answer
    x = 226,496.75

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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.