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Finding the Fourth Proportional to 299,496.21, 413,255.98 and 176,971.54

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Solution

The fourth proportional to 299,496.21, 413,255.98 and 176,971.54 is: 244,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,496.21 : 413,255.98 = 176,971.54 : x
  2. Step 2: Convert to fraction form
    299,496.21/413,255.98 = 176,971.54/x
  3. Step 3: Cross multiply
    299,496.21x = 413,255.98 × 176,971.54
  4. Step 4: Simplify right side
    299,496.21x = 73,134,545,719.24
  5. Step 5: Solve for x
    x = 73,134,545,719.24/299,496.21
  6. Step 6: Final answer
    x = 244,191.89

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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.