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Finding the Fourth Proportional to 665,286.60, 997,832.70 and 191,922.60

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Solution

The fourth proportional to 665,286.60, 997,832.70 and 191,922.60 is: 287,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,286.60 : 997,832.70 = 191,922.60 : x
  2. Step 2: Convert to fraction form
    665,286.60/997,832.70 = 191,922.60/x
  3. Step 3: Cross multiply
    665,286.60x = 997,832.70 × 191,922.60
  4. Step 4: Simplify right side
    665,286.60x = 191,506,646,149.02
  5. Step 5: Solve for x
    x = 191,506,646,149.02/665,286.60
  6. Step 6: Final answer
    x = 287,855.86

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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.