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Finding the Fourth Proportional to 395,423.37, 545,685.75 and 214,135.38

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Solution

The fourth proportional to 395,423.37, 545,685.75 and 214,135.38 is: 295,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,423.37 : 545,685.75 = 214,135.38 : x
  2. Step 2: Convert to fraction form
    395,423.37/545,685.75 = 214,135.38/x
  3. Step 3: Cross multiply
    395,423.37x = 545,685.75 × 214,135.38
  4. Step 4: Simplify right side
    395,423.37x = 116,850,625,436.84
  5. Step 5: Solve for x
    x = 116,850,625,436.84/395,423.37
  6. Step 6: Final answer
    x = 295,507.64

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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.