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Finding the Fourth Proportional to 395,394.02, 545,646.38 and 214,105.95

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Solution

The fourth proportional to 395,394.02, 545,646.38 and 214,105.95 is: 295,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,394.02 : 545,646.38 = 214,105.95 : x
  2. Step 2: Convert to fraction form
    395,394.02/545,646.38 = 214,105.95/x
  3. Step 3: Cross multiply
    395,394.02x = 545,646.38 × 214,105.95
  4. Step 4: Simplify right side
    395,394.02x = 116,826,136,553.96
  5. Step 5: Solve for x
    x = 116,826,136,553.96/395,394.02
  6. Step 6: Final answer
    x = 295,467.64

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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.