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Finding the Fourth Proportional to 298,516.60, 411,952.26 and 162,548.44

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Solution

The fourth proportional to 298,516.60, 411,952.26 and 162,548.44 is: 224,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,516.60 : 411,952.26 = 162,548.44 : x
  2. Step 2: Convert to fraction form
    298,516.60/411,952.26 = 162,548.44/x
  3. Step 3: Cross multiply
    298,516.60x = 411,952.26 × 162,548.44
  4. Step 4: Simplify right side
    298,516.60x = 66,962,197,217.47
  5. Step 5: Solve for x
    x = 66,962,197,217.47/298,516.60
  6. Step 6: Final answer
    x = 224,316.49

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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.