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Finding the Fourth Proportional to 362,004.67, 499,558.80 and 200,856.25

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Solution

The fourth proportional to 362,004.67, 499,558.80 and 200,856.25 is: 277,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,004.67 : 499,558.80 = 200,856.25 : x
  2. Step 2: Convert to fraction form
    362,004.67/499,558.80 = 200,856.25/x
  3. Step 3: Cross multiply
    362,004.67x = 499,558.80 × 200,856.25
  4. Step 4: Simplify right side
    362,004.67x = 100,339,507,222.50
  5. Step 5: Solve for x
    x = 100,339,507,222.50/362,004.67
  6. Step 6: Final answer
    x = 277,177.38

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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.