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Finding the Fourth Proportional to 538,904.70, 743,693.67 and 297,195.84

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Solution

The fourth proportional to 538,904.70, 743,693.67 and 297,195.84 is: 410,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,904.70 : 743,693.67 = 297,195.84 : x
  2. Step 2: Convert to fraction form
    538,904.70/743,693.67 = 297,195.84/x
  3. Step 3: Cross multiply
    538,904.70x = 743,693.67 × 297,195.84
  4. Step 4: Simplify right side
    538,904.70x = 221,022,664,958.33
  5. Step 5: Solve for x
    x = 221,022,664,958.33/538,904.70
  6. Step 6: Final answer
    x = 410,133.12

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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.