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Finding the Fourth Proportional to 395,976.42, 546,449.22 and 214,688.16

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Solution

The fourth proportional to 395,976.42, 546,449.22 and 214,688.16 is: 296,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,976.42 : 546,449.22 = 214,688.16 : x
  2. Step 2: Convert to fraction form
    395,976.42/546,449.22 = 214,688.16/x
  3. Step 3: Cross multiply
    395,976.42x = 546,449.22 × 214,688.16
  4. Step 4: Simplify right side
    395,976.42x = 117,316,177,575.24
  5. Step 5: Solve for x
    x = 117,316,177,575.24/395,976.42
  6. Step 6: Final answer
    x = 296,270.62

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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.