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Finding the Fourth Proportional to 395,470.05, 545,748.99 and 214,182.33

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Solution

The fourth proportional to 395,470.05, 545,748.99 and 214,182.33 is: 295,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,470.05 : 545,748.99 = 214,182.33 : x
  2. Step 2: Convert to fraction form
    395,470.05/545,748.99 = 214,182.33/x
  3. Step 3: Cross multiply
    395,470.05x = 545,748.99 × 214,182.33
  4. Step 4: Simplify right side
    395,470.05x = 116,889,788,628.38
  5. Step 5: Solve for x
    x = 116,889,788,628.38/395,470.05
  6. Step 6: Final answer
    x = 295,571.79

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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.