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Finding the Fourth Proportional to 654,783.73, 982,187.75 and 205,494.55

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Solution

The fourth proportional to 654,783.73, 982,187.75 and 205,494.55 is: 308,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,783.73 : 982,187.75 = 205,494.55 : x
  2. Step 2: Convert to fraction form
    654,783.73/982,187.75 = 205,494.55/x
  3. Step 3: Cross multiply
    654,783.73x = 982,187.75 × 205,494.55
  4. Step 4: Simplify right side
    654,783.73x = 201,834,228,674.29
  5. Step 5: Solve for x
    x = 201,834,228,674.29/654,783.73
  6. Step 6: Final answer
    x = 308,245.64

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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.