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Finding the Fourth Proportional to 533,312.80, 800,314.80 and 308,672.80

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Solution

The fourth proportional to 533,312.80, 800,314.80 and 308,672.80 is: 463,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,312.80 : 800,314.80 = 308,672.80 : x
  2. Step 2: Convert to fraction form
    533,312.80/800,314.80 = 308,672.80/x
  3. Step 3: Cross multiply
    533,312.80x = 800,314.80 × 308,672.80
  4. Step 4: Simplify right side
    533,312.80x = 247,035,410,197.44
  5. Step 5: Solve for x
    x = 247,035,410,197.44/533,312.80
  6. Step 6: Final answer
    x = 463,209.23

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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.