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Finding the Fourth Proportional to 300,039.29, 414,047.97 and 164,071.70

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Solution

The fourth proportional to 300,039.29, 414,047.97 and 164,071.70 is: 226,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,039.29 : 414,047.97 = 164,071.70 : x
  2. Step 2: Convert to fraction form
    300,039.29/414,047.97 = 164,071.70/x
  3. Step 3: Cross multiply
    300,039.29x = 414,047.97 × 164,071.70
  4. Step 4: Simplify right side
    300,039.29x = 67,933,554,319.45
  5. Step 5: Solve for x
    x = 67,933,554,319.45/300,039.29
  6. Step 6: Final answer
    x = 226,415.53

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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.