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Finding the Fourth Proportional to 300,381.40, 414,520.04 and 164,412.20

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Solution

The fourth proportional to 300,381.40, 414,520.04 and 164,412.20 is: 226,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,381.40 : 414,520.04 = 164,412.20 : x
  2. Step 2: Convert to fraction form
    300,381.40/414,520.04 = 164,412.20/x
  3. Step 3: Cross multiply
    300,381.40x = 414,520.04 × 164,412.20
  4. Step 4: Simplify right side
    300,381.40x = 68,152,151,720.49
  5. Step 5: Solve for x
    x = 68,152,151,720.49/300,381.40
  6. Step 6: Final answer
    x = 226,885.39

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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.