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Finding the Fourth Proportional to 362,017.94, 499,588.20 and 200,887.98

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Solution

The fourth proportional to 362,017.94, 499,588.20 and 200,887.98 is: 277,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,017.94 : 499,588.20 = 200,887.98 : x
  2. Step 2: Convert to fraction form
    362,017.94/499,588.20 = 200,887.98/x
  3. Step 3: Cross multiply
    362,017.94x = 499,588.20 × 200,887.98
  4. Step 4: Simplify right side
    362,017.94x = 100,361,264,329.84
  5. Step 5: Solve for x
    x = 100,361,264,329.84/362,017.94
  6. Step 6: Final answer
    x = 277,227.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.