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Finding the Fourth Proportional to 284,635.11, 427,022.75 and 200,559.48

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Solution

The fourth proportional to 284,635.11, 427,022.75 and 200,559.48 is: 300,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,635.11 : 427,022.75 = 200,559.48 : x
  2. Step 2: Convert to fraction form
    284,635.11/427,022.75 = 200,559.48/x
  3. Step 3: Cross multiply
    284,635.11x = 427,022.75 × 200,559.48
  4. Step 4: Simplify right side
    284,635.11x = 85,643,460,688.17
  5. Step 5: Solve for x
    x = 85,643,460,688.17/284,635.11
  6. Step 6: Final answer
    x = 300,888.60

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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.