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Finding the Fourth Proportional to 297,906.51, 446,718.96 and 108,234.60

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Solution

The fourth proportional to 297,906.51, 446,718.96 and 108,234.60 is: 162,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,906.51 : 446,718.96 = 108,234.60 : x
  2. Step 2: Convert to fraction form
    297,906.51/446,718.96 = 108,234.60/x
  3. Step 3: Cross multiply
    297,906.51x = 446,718.96 × 108,234.60
  4. Step 4: Simplify right side
    297,906.51x = 48,350,447,948.02
  5. Step 5: Solve for x
    x = 48,350,447,948.02/297,906.51
  6. Step 6: Final answer
    x = 162,300.74

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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.