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Finding the Fourth Proportional to 299,631.44, 413,513.16 and 172,346.96

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Solution

The fourth proportional to 299,631.44, 413,513.16 and 172,346.96 is: 237,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,631.44 : 413,513.16 = 172,346.96 : x
  2. Step 2: Convert to fraction form
    299,631.44/413,513.16 = 172,346.96/x
  3. Step 3: Cross multiply
    299,631.44x = 413,513.16 × 172,346.96
  4. Step 4: Simplify right side
    299,631.44x = 71,267,736,045.99
  5. Step 5: Solve for x
    x = 71,267,736,045.99/299,631.44
  6. Step 6: Final answer
    x = 237,851.33

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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.