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Finding the Fourth Proportional to 300,496.92, 414,705.74 and 173,180.72

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Solution

The fourth proportional to 300,496.92, 414,705.74 and 173,180.72 is: 239,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.92 : 414,705.74 = 173,180.72 : x
  2. Step 2: Convert to fraction form
    300,496.92/414,705.74 = 173,180.72/x
  3. Step 3: Cross multiply
    300,496.92x = 414,705.74 × 173,180.72
  4. Step 4: Simplify right side
    300,496.92x = 71,819,035,701.90
  5. Step 5: Solve for x
    x = 71,819,035,701.90/300,496.92
  6. Step 6: Final answer
    x = 239,000.90

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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.