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Finding the Fourth Proportional to 533,699.20, 800,479.68 and 201,232

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Solution

The fourth proportional to 533,699.20, 800,479.68 and 201,232 is: 301,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,699.20 : 800,479.68 = 201,232 : x
  2. Step 2: Convert to fraction form
    533,699.20/800,479.68 = 201,232/x
  3. Step 3: Cross multiply
    533,699.20x = 800,479.68 × 201,232
  4. Step 4: Simplify right side
    533,699.20x = 161,082,126,965.76
  5. Step 5: Solve for x
    x = 161,082,126,965.76/533,699.20
  6. Step 6: Final answer
    x = 301,821.94

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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.