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Finding the Fourth Proportional to 298,414.53, 411,810.89 and 162,456.03

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Solution

The fourth proportional to 298,414.53, 411,810.89 and 162,456.03 is: 224,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,414.53 : 411,810.89 = 162,456.03 : x
  2. Step 2: Convert to fraction form
    298,414.53/411,810.89 = 162,456.03/x
  3. Step 3: Cross multiply
    298,414.53x = 411,810.89 × 162,456.03
  4. Step 4: Simplify right side
    298,414.53x = 66,901,161,487.89
  5. Step 5: Solve for x
    x = 66,901,161,487.89/298,414.53
  6. Step 6: Final answer
    x = 224,188.69

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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.