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Finding the Fourth Proportional to 362,400.96, 500,096.64 and 201,266.24

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Solution

The fourth proportional to 362,400.96, 500,096.64 and 201,266.24 is: 277,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,400.96 : 500,096.64 = 201,266.24 : x
  2. Step 2: Convert to fraction form
    362,400.96/500,096.64 = 201,266.24/x
  3. Step 3: Cross multiply
    362,400.96x = 500,096.64 × 201,266.24
  4. Step 4: Simplify right side
    362,400.96x = 100,652,570,369.43
  5. Step 5: Solve for x
    x = 100,652,570,369.43/362,400.96
  6. Step 6: Final answer
    x = 277,738.14

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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.