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Finding the Fourth Proportional to 395,976.86, 546,441.36 and 223,892.16

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Solution

The fourth proportional to 395,976.86, 546,441.36 and 223,892.16 is: 308,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,976.86 : 546,441.36 = 223,892.16 : x
  2. Step 2: Convert to fraction form
    395,976.86/546,441.36 = 223,892.16/x
  3. Step 3: Cross multiply
    395,976.86x = 546,441.36 × 223,892.16
  4. Step 4: Simplify right side
    395,976.86x = 122,343,936,403.74
  5. Step 5: Solve for x
    x = 122,343,936,403.74/395,976.86
  6. Step 6: Final answer
    x = 308,967.39

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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.