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Finding the Fourth Proportional to 327,683.36, 452,276.79 and 214,440.50

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Solution

The fourth proportional to 327,683.36, 452,276.79 and 214,440.50 is: 295,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,683.36 : 452,276.79 = 214,440.50 : x
  2. Step 2: Convert to fraction form
    327,683.36/452,276.79 = 214,440.50/x
  3. Step 3: Cross multiply
    327,683.36x = 452,276.79 × 214,440.50
  4. Step 4: Simplify right side
    327,683.36x = 96,986,460,986.00
  5. Step 5: Solve for x
    x = 96,986,460,986.00/327,683.36
  6. Step 6: Final answer
    x = 295,976.16

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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.