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Finding the Fourth Proportional to 519,124, 716,391.28 and 280,660

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Solution

The fourth proportional to 519,124, 716,391.28 and 280,660 is: 387,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,124 : 716,391.28 = 280,660 : x
  2. Step 2: Convert to fraction form
    519,124/716,391.28 = 280,660/x
  3. Step 3: Cross multiply
    519,124x = 716,391.28 × 280,660
  4. Step 4: Simplify right side
    519,124x = 201,062,376,644.80
  5. Step 5: Solve for x
    x = 201,062,376,644.80/519,124
  6. Step 6: Final answer
    x = 387,310.89

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