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Finding the Fourth Proportional to 298,481.40, 411,890.94 and 162,511.92

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Solution

The fourth proportional to 298,481.40, 411,890.94 and 162,511.92 is: 224,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.40 : 411,890.94 = 162,511.92 : x
  2. Step 2: Convert to fraction form
    298,481.40/411,890.94 = 162,511.92/x
  3. Step 3: Cross multiply
    298,481.40x = 411,890.94 × 162,511.92
  4. Step 4: Simplify right side
    298,481.40x = 66,937,187,490.00
  5. Step 5: Solve for x
    x = 66,937,187,490.00/298,481.40
  6. Step 6: Final answer
    x = 224,259.16

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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.