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Finding the Fourth Proportional to 384,277.90, 576,768.41 and 194,869.00

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Solution

The fourth proportional to 384,277.90, 576,768.41 and 194,869.00 is: 292,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.90 : 576,768.41 = 194,869.00 : x
  2. Step 2: Convert to fraction form
    384,277.90/576,768.41 = 194,869.00/x
  3. Step 3: Cross multiply
    384,277.90x = 576,768.41 × 194,869.00
  4. Step 4: Simplify right side
    384,277.90x = 112,394,286,071.54
  5. Step 5: Solve for x
    x = 112,394,286,071.54/384,277.90
  6. Step 6: Final answer
    x = 292,481.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.