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Finding the Fourth Proportional to 298,796.35, 412,328.49 and 162,827.52

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Solution

The fourth proportional to 298,796.35, 412,328.49 and 162,827.52 is: 224,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,796.35 : 412,328.49 = 162,827.52 : x
  2. Step 2: Convert to fraction form
    298,796.35/412,328.49 = 162,827.52/x
  3. Step 3: Cross multiply
    298,796.35x = 412,328.49 × 162,827.52
  4. Step 4: Simplify right side
    298,796.35x = 67,138,424,841.44
  5. Step 5: Solve for x
    x = 67,138,424,841.44/298,796.35
  6. Step 6: Final answer
    x = 224,696.27

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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.