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Finding the Fourth Proportional to 395,576.30, 545,896.96 and 214,288.23

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Solution

The fourth proportional to 395,576.30, 545,896.96 and 214,288.23 is: 295,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,576.30 : 545,896.96 = 214,288.23 : x
  2. Step 2: Convert to fraction form
    395,576.30/545,896.96 = 214,288.23/x
  3. Step 3: Cross multiply
    395,576.30x = 545,896.96 × 214,288.23
  4. Step 4: Simplify right side
    395,576.30x = 116,979,290,798.55
  5. Step 5: Solve for x
    x = 116,979,290,798.55/395,576.30
  6. Step 6: Final answer
    x = 295,718.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.