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Finding the Fourth Proportional to 284,643.67, 427,035.56 and 200,567.97

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Solution

The fourth proportional to 284,643.67, 427,035.56 and 200,567.97 is: 300,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,643.67 : 427,035.56 = 200,567.97 : x
  2. Step 2: Convert to fraction form
    284,643.67/427,035.56 = 200,567.97/x
  3. Step 3: Cross multiply
    284,643.67x = 427,035.56 × 200,567.97
  4. Step 4: Simplify right side
    284,643.67x = 85,649,655,387.01
  5. Step 5: Solve for x
    x = 85,649,655,387.01/284,643.67
  6. Step 6: Final answer
    x = 300,901.32

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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.