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Finding the Fourth Proportional to 293,898.44, 440,972.47 and 160,623

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Solution

The fourth proportional to 293,898.44, 440,972.47 and 160,623 is: 241,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,898.44 : 440,972.47 = 160,623 : x
  2. Step 2: Convert to fraction form
    293,898.44/440,972.47 = 160,623/x
  3. Step 3: Cross multiply
    293,898.44x = 440,972.47 × 160,623
  4. Step 4: Simplify right side
    293,898.44x = 70,830,321,249.59
  5. Step 5: Solve for x
    x = 70,830,321,249.59/293,898.44
  6. Step 6: Final answer
    x = 241,002.71

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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.