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Finding the Fourth Proportional to 284,627.75, 427,011.71 and 200,552.13

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Solution

The fourth proportional to 284,627.75, 427,011.71 and 200,552.13 is: 300,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,627.75 : 427,011.71 = 200,552.13 : x
  2. Step 2: Convert to fraction form
    284,627.75/427,011.71 = 200,552.13/x
  3. Step 3: Cross multiply
    284,627.75x = 427,011.71 × 200,552.13
  4. Step 4: Simplify right side
    284,627.75x = 85,638,106,972.68
  5. Step 5: Solve for x
    x = 85,638,106,972.68/284,627.75
  6. Step 6: Final answer
    x = 300,877.57

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1.5x scale

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.