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Finding the Fourth Proportional to 299,914.38, 413,885.70 and 163,946.16

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Solution

The fourth proportional to 299,914.38, 413,885.70 and 163,946.16 is: 226,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,914.38 : 413,885.70 = 163,946.16 : x
  2. Step 2: Convert to fraction form
    299,914.38/413,885.70 = 163,946.16/x
  3. Step 3: Cross multiply
    299,914.38x = 413,885.70 × 163,946.16
  4. Step 4: Simplify right side
    299,914.38x = 67,854,971,193.91
  5. Step 5: Solve for x
    x = 67,854,971,193.91/299,914.38
  6. Step 6: Final answer
    x = 226,247.81

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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.