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Finding the Fourth Proportional to 533,621.76, 800,616.96 and 201,384.96

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Solution

The fourth proportional to 533,621.76, 800,616.96 and 201,384.96 is: 302,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,621.76 : 800,616.96 = 201,384.96 : x
  2. Step 2: Convert to fraction form
    533,621.76/800,616.96 = 201,384.96/x
  3. Step 3: Cross multiply
    533,621.76x = 800,616.96 × 201,384.96
  4. Step 4: Simplify right side
    533,621.76x = 161,232,214,464.92
  5. Step 5: Solve for x
    x = 161,232,214,464.92/533,621.76
  6. Step 6: Final answer
    x = 302,147.00

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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.