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Finding the Fourth Proportional to 408,890.77, 564,269.22 and 227,598.80

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Solution

The fourth proportional to 408,890.77, 564,269.22 and 227,598.80 is: 314,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,890.77 : 564,269.22 = 227,598.80 : x
  2. Step 2: Convert to fraction form
    408,890.77/564,269.22 = 227,598.80/x
  3. Step 3: Cross multiply
    408,890.77x = 564,269.22 × 227,598.80
  4. Step 4: Simplify right side
    408,890.77x = 128,426,994,527.59
  5. Step 5: Solve for x
    x = 128,426,994,527.59/408,890.77
  6. Step 6: Final answer
    x = 314,086.32

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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.