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Finding the Fourth Proportional to 409,743.44, 565,448.84 and 228,467.24

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Solution

The fourth proportional to 409,743.44, 565,448.84 and 228,467.24 is: 315,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,743.44 : 565,448.84 = 228,467.24 : x
  2. Step 2: Convert to fraction form
    409,743.44/565,448.84 = 228,467.24/x
  3. Step 3: Cross multiply
    409,743.44x = 565,448.84 × 228,467.24
  4. Step 4: Simplify right side
    409,743.44x = 129,186,535,836.00
  5. Step 5: Solve for x
    x = 129,186,535,836.00/409,743.44
  6. Step 6: Final answer
    x = 315,286.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.