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Finding the Fourth Proportional to 395,883.44, 546,317.16 and 214,594.64

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Solution

The fourth proportional to 395,883.44, 546,317.16 and 214,594.64 is: 296,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,883.44 : 546,317.16 = 214,594.64 : x
  2. Step 2: Convert to fraction form
    395,883.44/546,317.16 = 214,594.64/x
  3. Step 3: Cross multiply
    395,883.44x = 546,317.16 × 214,594.64
  4. Step 4: Simplify right side
    395,883.44x = 117,236,734,276.02
  5. Step 5: Solve for x
    x = 117,236,734,276.02/395,883.44
  6. Step 6: Final answer
    x = 296,139.53

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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.