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Finding the Fourth Proportional to 277,589.20, 415,727.70 and 188,359.60

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Solution

The fourth proportional to 277,589.20, 415,727.70 and 188,359.60 is: 282,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.20 : 415,727.70 = 188,359.60 : x
  2. Step 2: Convert to fraction form
    277,589.20/415,727.70 = 188,359.60/x
  3. Step 3: Cross multiply
    277,589.20x = 415,727.70 × 188,359.60
  4. Step 4: Simplify right side
    277,589.20x = 78,306,303,280.92
  5. Step 5: Solve for x
    x = 78,306,303,280.92/277,589.20
  6. Step 6: Final answer
    x = 282,094.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.