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Finding the Fourth Proportional to 533,703.20, 800,485.68 and 201,236

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Solution

The fourth proportional to 533,703.20, 800,485.68 and 201,236 is: 301,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,703.20 : 800,485.68 = 201,236 : x
  2. Step 2: Convert to fraction form
    533,703.20/800,485.68 = 201,236/x
  3. Step 3: Cross multiply
    533,703.20x = 800,485.68 × 201,236
  4. Step 4: Simplify right side
    533,703.20x = 161,086,536,300.48
  5. Step 5: Solve for x
    x = 161,086,536,300.48/533,703.20
  6. Step 6: Final answer
    x = 301,827.94

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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.