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Finding the Fourth Proportional to 395,116.52, 545,260.76 and 213,828.48

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Solution

The fourth proportional to 395,116.52, 545,260.76 and 213,828.48 is: 295,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,116.52 : 545,260.76 = 213,828.48 : x
  2. Step 2: Convert to fraction form
    395,116.52/545,260.76 = 213,828.48/x
  3. Step 3: Cross multiply
    395,116.52x = 545,260.76 × 213,828.48
  4. Step 4: Simplify right side
    395,116.52x = 116,592,279,514.45
  5. Step 5: Solve for x
    x = 116,592,279,514.45/395,116.52
  6. Step 6: Final answer
    x = 295,083.28

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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.