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Finding the Fourth Proportional to 298,348.21, 411,723.89 and 162,383.02

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Solution

The fourth proportional to 298,348.21, 411,723.89 and 162,383.02 is: 224,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,348.21 : 411,723.89 = 162,383.02 : x
  2. Step 2: Convert to fraction form
    298,348.21/411,723.89 = 162,383.02/x
  3. Step 3: Cross multiply
    298,348.21x = 411,723.89 × 162,383.02
  4. Step 4: Simplify right side
    298,348.21x = 66,856,968,664.35
  5. Step 5: Solve for x
    x = 66,856,968,664.35/298,348.21
  6. Step 6: Final answer
    x = 224,090.40

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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.