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Finding the Fourth Proportional to 362,880.81, 500,792.60 and 201,738.55

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Solution

The fourth proportional to 362,880.81, 500,792.60 and 201,738.55 is: 278,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880.81 : 500,792.60 = 201,738.55 : x
  2. Step 2: Convert to fraction form
    362,880.81/500,792.60 = 201,738.55/x
  3. Step 3: Cross multiply
    362,880.81x = 500,792.60 × 201,738.55
  4. Step 4: Simplify right side
    362,880.81x = 101,029,172,227.10
  5. Step 5: Solve for x
    x = 101,029,172,227.10/362,880.81
  6. Step 6: Final answer
    x = 278,408.69

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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.