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Finding the Fourth Proportional to 395,498.44, 545,784.54 and 214,206.16

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Solution

The fourth proportional to 395,498.44, 545,784.54 and 214,206.16 is: 295,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,498.44 : 545,784.54 = 214,206.16 : x
  2. Step 2: Convert to fraction form
    395,498.44/545,784.54 = 214,206.16/x
  3. Step 3: Cross multiply
    395,498.44x = 545,784.54 × 214,206.16
  4. Step 4: Simplify right side
    395,498.44x = 116,910,410,500.77
  5. Step 5: Solve for x
    x = 116,910,410,500.77/395,498.44
  6. Step 6: Final answer
    x = 295,602.71

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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.