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Finding the Fourth Proportional to 408,784.89, 564,118.76 and 227,493.77

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Solution

The fourth proportional to 408,784.89, 564,118.76 and 227,493.77 is: 313,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,784.89 : 564,118.76 = 227,493.77 : x
  2. Step 2: Convert to fraction form
    408,784.89/564,118.76 = 227,493.77/x
  3. Step 3: Cross multiply
    408,784.89x = 564,118.76 × 227,493.77
  4. Step 4: Simplify right side
    408,784.89x = 128,333,501,188.27
  5. Step 5: Solve for x
    x = 128,333,501,188.27/408,784.89
  6. Step 6: Final answer
    x = 313,938.95

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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.