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Finding the Fourth Proportional to 395,321.56, 545,537.14 and 214,032.02

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Solution

The fourth proportional to 395,321.56, 545,537.14 and 214,032.02 is: 295,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,321.56 : 545,537.14 = 214,032.02 : x
  2. Step 2: Convert to fraction form
    395,321.56/545,537.14 = 214,032.02/x
  3. Step 3: Cross multiply
    395,321.56x = 545,537.14 × 214,032.02
  4. Step 4: Simplify right side
    395,321.56x = 116,762,416,059.22
  5. Step 5: Solve for x
    x = 116,762,416,059.22/395,321.56
  6. Step 6: Final answer
    x = 295,360.61

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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.