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Finding the Fourth Proportional to 300,651.85, 414,905.49 and 164,685.79

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Solution

The fourth proportional to 300,651.85, 414,905.49 and 164,685.79 is: 227,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,651.85 : 414,905.49 = 164,685.79 : x
  2. Step 2: Convert to fraction form
    300,651.85/414,905.49 = 164,685.79/x
  3. Step 3: Cross multiply
    300,651.85x = 414,905.49 × 164,685.79
  4. Step 4: Simplify right side
    300,651.85x = 68,329,038,395.99
  5. Step 5: Solve for x
    x = 68,329,038,395.99/300,651.85
  6. Step 6: Final answer
    x = 227,269.64

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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.