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Finding the Fourth Proportional to 408,368.34, 563,548.77 and 227,076.39

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Solution

The fourth proportional to 408,368.34, 563,548.77 and 227,076.39 is: 313,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,368.34 : 563,548.77 = 227,076.39 : x
  2. Step 2: Convert to fraction form
    408,368.34/563,548.77 = 227,076.39/x
  3. Step 3: Cross multiply
    408,368.34x = 563,548.77 × 227,076.39
  4. Step 4: Simplify right side
    408,368.34x = 127,968,620,280.54
  5. Step 5: Solve for x
    x = 127,968,620,280.54/408,368.34
  6. Step 6: Final answer
    x = 313,365.67

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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.