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Finding the Fourth Proportional to 364,928.36, 503,596.38 and 203,786.24

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Solution

The fourth proportional to 364,928.36, 503,596.38 and 203,786.24 is: 281,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,928.36 : 503,596.38 = 203,786.24 : x
  2. Step 2: Convert to fraction form
    364,928.36/503,596.38 = 203,786.24/x
  3. Step 3: Cross multiply
    364,928.36x = 503,596.38 × 203,786.24
  4. Step 4: Simplify right side
    364,928.36x = 102,626,012,757.81
  5. Step 5: Solve for x
    x = 102,626,012,757.81/364,928.36
  6. Step 6: Final answer
    x = 281,222.35

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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.