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Finding the Fourth Proportional to 598,580.53, 897,879.00 and 199,222.71

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Solution

The fourth proportional to 598,580.53, 897,879.00 and 199,222.71 is: 298,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,580.53 : 897,879.00 = 199,222.71 : x
  2. Step 2: Convert to fraction form
    598,580.53/897,879.00 = 199,222.71/x
  3. Step 3: Cross multiply
    598,580.53x = 897,879.00 × 199,222.71
  4. Step 4: Simplify right side
    598,580.53x = 178,877,892,027.67
  5. Step 5: Solve for x
    x = 178,877,892,027.67/598,580.53
  6. Step 6: Final answer
    x = 298,836.80

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Why These Related Problems?

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