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Finding the Fourth Proportional to 395,695.20, 546,059.85 and 214,406.98

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Solution

The fourth proportional to 395,695.20, 546,059.85 and 214,406.98 is: 295,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,695.20 : 546,059.85 = 214,406.98 : x
  2. Step 2: Convert to fraction form
    395,695.20/546,059.85 = 214,406.98/x
  3. Step 3: Cross multiply
    395,695.20x = 546,059.85 × 214,406.98
  4. Step 4: Simplify right side
    395,695.20x = 117,079,043,337.75
  5. Step 5: Solve for x
    x = 117,079,043,337.75/395,695.20
  6. Step 6: Final answer
    x = 295,881.89

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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.