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Finding the Fourth Proportional to 298,738.73, 412,254.23 and 162,773.80

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Solution

The fourth proportional to 298,738.73, 412,254.23 and 162,773.80 is: 224,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,738.73 : 412,254.23 = 162,773.80 : x
  2. Step 2: Convert to fraction form
    298,738.73/412,254.23 = 162,773.80/x
  3. Step 3: Cross multiply
    298,738.73x = 412,254.23 × 162,773.80
  4. Step 4: Simplify right side
    298,738.73x = 67,104,185,738.67
  5. Step 5: Solve for x
    x = 67,104,185,738.67/298,738.73
  6. Step 6: Final answer
    x = 224,625.00

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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.