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Finding the Fourth Proportional to 299,325.14, 413,014.29 and 176,837.46

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Solution

The fourth proportional to 299,325.14, 413,014.29 and 176,837.46 is: 244,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,325.14 : 413,014.29 = 176,837.46 : x
  2. Step 2: Convert to fraction form
    299,325.14/413,014.29 = 176,837.46/x
  3. Step 3: Cross multiply
    299,325.14x = 413,014.29 × 176,837.46
  4. Step 4: Simplify right side
    299,325.14x = 73,036,397,987.30
  5. Step 5: Solve for x
    x = 73,036,397,987.30/299,325.14
  6. Step 6: Final answer
    x = 244,003.56

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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.