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Finding the Fourth Proportional to 284,915.75, 426,597.98 and 200,549.39

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Solution

The fourth proportional to 284,915.75, 426,597.98 and 200,549.39 is: 300,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,915.75 : 426,597.98 = 200,549.39 : x
  2. Step 2: Convert to fraction form
    284,915.75/426,597.98 = 200,549.39/x
  3. Step 3: Cross multiply
    284,915.75x = 426,597.98 × 200,549.39
  4. Step 4: Simplify right side
    284,915.75x = 85,553,961,528.50
  5. Step 5: Solve for x
    x = 85,553,961,528.50/284,915.75
  6. Step 6: Final answer
    x = 300,278.11

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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.