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Finding the Fourth Proportional to 533,697.20, 800,476.68 and 201,230

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Solution

The fourth proportional to 533,697.20, 800,476.68 and 201,230 is: 301,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,697.20 : 800,476.68 = 201,230 : x
  2. Step 2: Convert to fraction form
    533,697.20/800,476.68 = 201,230/x
  3. Step 3: Cross multiply
    533,697.20x = 800,476.68 × 201,230
  4. Step 4: Simplify right side
    533,697.20x = 161,079,922,316.40
  5. Step 5: Solve for x
    x = 161,079,922,316.40/533,697.20
  6. Step 6: Final answer
    x = 301,818.94

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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.