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Finding the Fourth Proportional to 395,957.06, 546,424.50 and 214,668.52

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Solution

The fourth proportional to 395,957.06, 546,424.50 and 214,668.52 is: 296,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,957.06 : 546,424.50 = 214,668.52 : x
  2. Step 2: Convert to fraction form
    395,957.06/546,424.50 = 214,668.52/x
  3. Step 3: Cross multiply
    395,957.06x = 546,424.50 × 214,668.52
  4. Step 4: Simplify right side
    395,957.06x = 117,300,138,706.74
  5. Step 5: Solve for x
    x = 117,300,138,706.74/395,957.06
  6. Step 6: Final answer
    x = 296,244.59

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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.