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Finding the Fourth Proportional to 300,403.88, 414,557.96 and 164,446.48

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Solution

The fourth proportional to 300,403.88, 414,557.96 and 164,446.48 is: 226,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,403.88 : 414,557.96 = 164,446.48 : x
  2. Step 2: Convert to fraction form
    300,403.88/414,557.96 = 164,446.48/x
  3. Step 3: Cross multiply
    300,403.88x = 414,557.96 × 164,446.48
  4. Step 4: Simplify right side
    300,403.88x = 68,172,597,277.98
  5. Step 5: Solve for x
    x = 68,172,597,277.98/300,403.88
  6. Step 6: Final answer
    x = 226,936.47

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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.