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Finding the Fourth Proportional to 298,801.20, 412,333.65 and 162,832.23

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Solution

The fourth proportional to 298,801.20, 412,333.65 and 162,832.23 is: 224,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,801.20 : 412,333.65 = 162,832.23 : x
  2. Step 2: Convert to fraction form
    298,801.20/412,333.65 = 162,832.23/x
  3. Step 3: Cross multiply
    298,801.20x = 412,333.65 × 162,832.23
  4. Step 4: Simplify right side
    298,801.20x = 67,141,207,733.54
  5. Step 5: Solve for x
    x = 67,141,207,733.54/298,801.20
  6. Step 6: Final answer
    x = 224,701.93

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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.