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Finding the Fourth Proportional to 300,446.72, 414,588.06 and 179,564

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Solution

The fourth proportional to 300,446.72, 414,588.06 and 179,564 is: 247,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,446.72 : 414,588.06 = 179,564 : x
  2. Step 2: Convert to fraction form
    300,446.72/414,588.06 = 179,564/x
  3. Step 3: Cross multiply
    300,446.72x = 414,588.06 × 179,564
  4. Step 4: Simplify right side
    300,446.72x = 74,445,090,405.84
  5. Step 5: Solve for x
    x = 74,445,090,405.84/300,446.72
  6. Step 6: Final answer
    x = 247,781.34

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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.