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Finding the Fourth Proportional to 299,668.32, 413,893.35 and 238,618.89

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Solution

The fourth proportional to 299,668.32, 413,893.35 and 238,618.89 is: 329,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668.32 : 413,893.35 = 238,618.89 : x
  2. Step 2: Convert to fraction form
    299,668.32/413,893.35 = 238,618.89/x
  3. Step 3: Cross multiply
    299,668.32x = 413,893.35 × 238,618.89
  4. Step 4: Simplify right side
    299,668.32x = 98,762,771,755.38
  5. Step 5: Solve for x
    x = 98,762,771,755.38/299,668.32
  6. Step 6: Final answer
    x = 329,573.62

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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.