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Finding the Fourth Proportional to 533,534.64, 800,409.96 and 218,016.96

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Solution

The fourth proportional to 533,534.64, 800,409.96 and 218,016.96 is: 327,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,534.64 : 800,409.96 = 218,016.96 : x
  2. Step 2: Convert to fraction form
    533,534.64/800,409.96 = 218,016.96/x
  3. Step 3: Cross multiply
    533,534.64x = 800,409.96 × 218,016.96
  4. Step 4: Simplify right side
    533,534.64x = 174,502,946,232.92
  5. Step 5: Solve for x
    x = 174,502,946,232.92/533,534.64
  6. Step 6: Final answer
    x = 327,069.57

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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.