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Finding the Fourth Proportional to 362,880.44, 500,792.09 and 201,738.17

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Solution

The fourth proportional to 362,880.44, 500,792.09 and 201,738.17 is: 278,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880.44 : 500,792.09 = 201,738.17 : x
  2. Step 2: Convert to fraction form
    362,880.44/500,792.09 = 201,738.17/x
  3. Step 3: Cross multiply
    362,880.44x = 500,792.09 × 201,738.17
  4. Step 4: Simplify right side
    362,880.44x = 101,028,880,030.37
  5. Step 5: Solve for x
    x = 101,028,880,030.37/362,880.44
  6. Step 6: Final answer
    x = 278,408.17

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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.