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Finding the Fourth Proportional to 284,918.75, 426,602.48 and 200,552.39

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Solution

The fourth proportional to 284,918.75, 426,602.48 and 200,552.39 is: 300,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,918.75 : 426,602.48 = 200,552.39 : x
  2. Step 2: Convert to fraction form
    284,918.75/426,602.48 = 200,552.39/x
  3. Step 3: Cross multiply
    284,918.75x = 426,602.48 × 200,552.39
  4. Step 4: Simplify right side
    284,918.75x = 85,556,143,808.15
  5. Step 5: Solve for x
    x = 85,556,143,808.15/284,918.75
  6. Step 6: Final answer
    x = 300,282.61

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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.