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Finding the Fourth Proportional to 297,883.82, 446,685.30 and 108,210.48

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Solution

The fourth proportional to 297,883.82, 446,685.30 and 108,210.48 is: 162,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,883.82 : 446,685.30 = 108,210.48 : x
  2. Step 2: Convert to fraction form
    297,883.82/446,685.30 = 108,210.48/x
  3. Step 3: Cross multiply
    297,883.82x = 446,685.30 × 108,210.48
  4. Step 4: Simplify right side
    297,883.82x = 48,336,030,721.94
  5. Step 5: Solve for x
    x = 48,336,030,721.94/297,883.82
  6. Step 6: Final answer
    x = 162,264.71

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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.