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Finding the Fourth Proportional to 408,853.40, 613,282.40 and 364,082.26

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Solution

The fourth proportional to 408,853.40, 613,282.40 and 364,082.26 is: 546,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,853.40 : 613,282.40 = 364,082.26 : x
  2. Step 2: Convert to fraction form
    408,853.40/613,282.40 = 364,082.26/x
  3. Step 3: Cross multiply
    408,853.40x = 613,282.40 × 364,082.26
  4. Step 4: Simplify right side
    408,853.40x = 223,285,239,143.81
  5. Step 5: Solve for x
    x = 223,285,239,143.81/408,853.40
  6. Step 6: Final answer
    x = 546,125.43

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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.