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Finding the Fourth Proportional to 393,301.90, 590,077.77 and 165,717.82

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Solution

The fourth proportional to 393,301.90, 590,077.77 and 165,717.82 is: 248,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,301.90 : 590,077.77 = 165,717.82 : x
  2. Step 2: Convert to fraction form
    393,301.90/590,077.77 = 165,717.82/x
  3. Step 3: Cross multiply
    393,301.90x = 590,077.77 × 165,717.82
  4. Step 4: Simplify right side
    393,301.90x = 97,786,401,674.86
  5. Step 5: Solve for x
    x = 97,786,401,674.86/393,301.90
  6. Step 6: Final answer
    x = 248,629.37

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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.