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Finding the Fourth Proportional to 519,414, 716,792.76 and 280,950

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Solution

The fourth proportional to 519,414, 716,792.76 and 280,950 is: 387,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,414 : 716,792.76 = 280,950 : x
  2. Step 2: Convert to fraction form
    519,414/716,792.76 = 280,950/x
  3. Step 3: Cross multiply
    519,414x = 716,792.76 × 280,950
  4. Step 4: Simplify right side
    519,414x = 201,382,925,922
  5. Step 5: Solve for x
    x = 201,382,925,922/519,414
  6. Step 6: Final answer
    x = 387,711.78

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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.