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Finding the Fourth Proportional to 297,054.66, 445,608.23 and 83,824.46

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Solution

The fourth proportional to 297,054.66, 445,608.23 and 83,824.46 is: 125,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,054.66 : 445,608.23 = 83,824.46 : x
  2. Step 2: Convert to fraction form
    297,054.66/445,608.23 = 83,824.46/x
  3. Step 3: Cross multiply
    297,054.66x = 445,608.23 × 83,824.46
  4. Step 4: Simplify right side
    297,054.66x = 37,352,869,251.31
  5. Step 5: Solve for x
    x = 37,352,869,251.31/297,054.66
  6. Step 6: Final answer
    x = 125,744.09

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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.