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Finding the Fourth Proportional to 300,023.40, 414,045.16 and 164,049.24

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Solution

The fourth proportional to 300,023.40, 414,045.16 and 164,049.24 is: 226,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,023.40 : 414,045.16 = 164,049.24 : x
  2. Step 2: Convert to fraction form
    300,023.40/414,045.16 = 164,049.24/x
  3. Step 3: Cross multiply
    300,023.40x = 414,045.16 × 164,049.24
  4. Step 4: Simplify right side
    300,023.40x = 67,923,793,823.68
  5. Step 5: Solve for x
    x = 67,923,793,823.68/300,023.40
  6. Step 6: Final answer
    x = 226,394.99

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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.