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Finding the Fourth Proportional to 395,483.36, 545,764.31 and 214,191.14

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Solution

The fourth proportional to 395,483.36, 545,764.31 and 214,191.14 is: 295,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,483.36 : 545,764.31 = 214,191.14 : x
  2. Step 2: Convert to fraction form
    395,483.36/545,764.31 = 214,191.14/x
  3. Step 3: Cross multiply
    395,483.36x = 545,764.31 × 214,191.14
  4. Step 4: Simplify right side
    395,483.36x = 116,897,876,131.24
  5. Step 5: Solve for x
    x = 116,897,876,131.24/395,483.36
  6. Step 6: Final answer
    x = 295,582.29

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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.