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Finding the Fourth Proportional to 300,623.46, 414,845.52 and 164,658

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Solution

The fourth proportional to 300,623.46, 414,845.52 and 164,658 is: 227,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,623.46 : 414,845.52 = 164,658 : x
  2. Step 2: Convert to fraction form
    300,623.46/414,845.52 = 164,658/x
  3. Step 3: Cross multiply
    300,623.46x = 414,845.52 × 164,658
  4. Step 4: Simplify right side
    300,623.46x = 68,307,633,632.16
  5. Step 5: Solve for x
    x = 68,307,633,632.16/300,623.46
  6. Step 6: Final answer
    x = 227,219.90

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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.