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Finding the Fourth Proportional to 298,761.48, 412,285.53 and 162,796.38

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Solution

The fourth proportional to 298,761.48, 412,285.53 and 162,796.38 is: 224,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,761.48 : 412,285.53 = 162,796.38 : x
  2. Step 2: Convert to fraction form
    298,761.48/412,285.53 = 162,796.38/x
  3. Step 3: Cross multiply
    298,761.48x = 412,285.53 × 162,796.38
  4. Step 4: Simplify right side
    298,761.48x = 67,118,591,810.38
  5. Step 5: Solve for x
    x = 67,118,591,810.38/298,761.48
  6. Step 6: Final answer
    x = 224,656.11

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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.