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Finding the Fourth Proportional to 307,713.43, 461,523.98 and 97,324.03

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Solution

The fourth proportional to 307,713.43, 461,523.98 and 97,324.03 is: 145,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,713.43 : 461,523.98 = 97,324.03 : x
  2. Step 2: Convert to fraction form
    307,713.43/461,523.98 = 97,324.03/x
  3. Step 3: Cross multiply
    307,713.43x = 461,523.98 × 97,324.03
  4. Step 4: Simplify right side
    307,713.43x = 44,917,373,948.01
  5. Step 5: Solve for x
    x = 44,917,373,948.01/307,713.43
  6. Step 6: Final answer
    x = 145,971.44

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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.