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Finding the Fourth Proportional to 395,671.64, 546,027.54 and 214,383.56

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Solution

The fourth proportional to 395,671.64, 546,027.54 and 214,383.56 is: 295,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,671.64 : 546,027.54 = 214,383.56 : x
  2. Step 2: Convert to fraction form
    395,671.64/546,027.54 = 214,383.56/x
  3. Step 3: Cross multiply
    395,671.64x = 546,027.54 × 214,383.56
  4. Step 4: Simplify right side
    395,671.64x = 117,059,327,883.24
  5. Step 5: Solve for x
    x = 117,059,327,883.24/395,671.64
  6. Step 6: Final answer
    x = 295,849.68

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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.