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Finding the Fourth Proportional to 298,686.45, 412,182.51 and 162,722.05

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Solution

The fourth proportional to 298,686.45, 412,182.51 and 162,722.05 is: 224,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686.45 : 412,182.51 = 162,722.05 : x
  2. Step 2: Convert to fraction form
    298,686.45/412,182.51 = 162,722.05/x
  3. Step 3: Cross multiply
    298,686.45x = 412,182.51 × 162,722.05
  4. Step 4: Simplify right side
    298,686.45x = 67,071,181,360.68
  5. Step 5: Solve for x
    x = 67,071,181,360.68/298,686.45
  6. Step 6: Final answer
    x = 224,553.81

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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.