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Finding the Fourth Proportional to 408,853.44, 613,237.03 and 109,364.24

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Solution

The fourth proportional to 408,853.44, 613,237.03 and 109,364.24 is: 164,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,853.44 : 613,237.03 = 109,364.24 : x
  2. Step 2: Convert to fraction form
    408,853.44/613,237.03 = 109,364.24/x
  3. Step 3: Cross multiply
    408,853.44x = 613,237.03 × 109,364.24
  4. Step 4: Simplify right side
    408,853.44x = 67,066,202,985.49
  5. Step 5: Solve for x
    x = 67,066,202,985.49/408,853.44
  6. Step 6: Final answer
    x = 164,034.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.