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Finding the Fourth Proportional to 264,513.96, 396,863.10 and 98,349.48

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Solution

The fourth proportional to 264,513.96, 396,863.10 and 98,349.48 is: 147,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,513.96 : 396,863.10 = 98,349.48 : x
  2. Step 2: Convert to fraction form
    264,513.96/396,863.10 = 98,349.48/x
  3. Step 3: Cross multiply
    264,513.96x = 396,863.10 × 98,349.48
  4. Step 4: Simplify right side
    264,513.96x = 39,031,279,516.19
  5. Step 5: Solve for x
    x = 39,031,279,516.19/264,513.96
  6. Step 6: Final answer
    x = 147,558.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.