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Finding the Fourth Proportional to 395,576.36, 545,893.12 and 214,291.78

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Solution

The fourth proportional to 395,576.36, 545,893.12 and 214,291.78 is: 295,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,576.36 : 545,893.12 = 214,291.78 : x
  2. Step 2: Convert to fraction form
    395,576.36/545,893.12 = 214,291.78/x
  3. Step 3: Cross multiply
    395,576.36x = 545,893.12 × 214,291.78
  4. Step 4: Simplify right side
    395,576.36x = 116,980,407,277.69
  5. Step 5: Solve for x
    x = 116,980,407,277.69/395,576.36
  6. Step 6: Final answer
    x = 295,721.43

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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.