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Finding the Fourth Proportional to 395,668.72, 546,022.02 and 214,385.23

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Solution

The fourth proportional to 395,668.72, 546,022.02 and 214,385.23 is: 295,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,668.72 : 546,022.02 = 214,385.23 : x
  2. Step 2: Convert to fraction form
    395,668.72/546,022.02 = 214,385.23/x
  3. Step 3: Cross multiply
    395,668.72x = 546,022.02 × 214,385.23
  4. Step 4: Simplify right side
    395,668.72x = 117,059,056,342.77
  5. Step 5: Solve for x
    x = 117,059,056,342.77/395,668.72
  6. Step 6: Final answer
    x = 295,851.18

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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.