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Finding the Fourth Proportional to 297,300.51, 446,169.47 and 197,427.51

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Solution

The fourth proportional to 297,300.51, 446,169.47 and 197,427.51 is: 296,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,300.51 : 446,169.47 = 197,427.51 : x
  2. Step 2: Convert to fraction form
    297,300.51/446,169.47 = 197,427.51/x
  3. Step 3: Cross multiply
    297,300.51x = 446,169.47 × 197,427.51
  4. Step 4: Simplify right side
    297,300.51x = 88,086,126,512.98
  5. Step 5: Solve for x
    x = 88,086,126,512.98/297,300.51
  6. Step 6: Final answer
    x = 296,286.50

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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.