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Finding the Fourth Proportional to 300,684.15, 414,942.91 and 164,717.91

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Solution

The fourth proportional to 300,684.15, 414,942.91 and 164,717.91 is: 227,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,684.15 : 414,942.91 = 164,717.91 : x
  2. Step 2: Convert to fraction form
    300,684.15/414,942.91 = 164,717.91/x
  3. Step 3: Cross multiply
    300,684.15x = 414,942.91 × 164,717.91
  4. Step 4: Simplify right side
    300,684.15x = 68,348,528,492.72
  5. Step 5: Solve for x
    x = 68,348,528,492.72/300,684.15
  6. Step 6: Final answer
    x = 227,310.05

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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.