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Finding the Fourth Proportional to 408,324.16, 563,512.80 and 227,076.58

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Solution

The fourth proportional to 408,324.16, 563,512.80 and 227,076.58 is: 313,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,324.16 : 563,512.80 = 227,076.58 : x
  2. Step 2: Convert to fraction form
    408,324.16/563,512.80 = 227,076.58/x
  3. Step 3: Cross multiply
    408,324.16x = 563,512.80 × 227,076.58
  4. Step 4: Simplify right side
    408,324.16x = 127,960,559,410.22
  5. Step 5: Solve for x
    x = 127,960,559,410.22/408,324.16
  6. Step 6: Final answer
    x = 313,379.84

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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.