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Finding the Fourth Proportional to 300,296.74, 414,409.56 and 164,330.72

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Solution

The fourth proportional to 300,296.74, 414,409.56 and 164,330.72 is: 226,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296.74 : 414,409.56 = 164,330.72 : x
  2. Step 2: Convert to fraction form
    300,296.74/414,409.56 = 164,330.72/x
  3. Step 3: Cross multiply
    300,296.74x = 414,409.56 × 164,330.72
  4. Step 4: Simplify right side
    300,296.74x = 68,100,221,369.68
  5. Step 5: Solve for x
    x = 68,100,221,369.68/300,296.74
  6. Step 6: Final answer
    x = 226,776.43

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1.5x scale

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.