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Finding the Fourth Proportional to 231,564.40, 347,297.99 and 65,313.52

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Solution

The fourth proportional to 231,564.40, 347,297.99 and 65,313.52 is: 97,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,564.40 : 347,297.99 = 65,313.52 : x
  2. Step 2: Convert to fraction form
    231,564.40/347,297.99 = 65,313.52/x
  3. Step 3: Cross multiply
    231,564.40x = 347,297.99 × 65,313.52
  4. Step 4: Simplify right side
    231,564.40x = 22,683,252,479.33
  5. Step 5: Solve for x
    x = 22,683,252,479.33/231,564.40
  6. Step 6: Final answer
    x = 97,956.56

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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.