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Finding the Fourth Proportional to 837,728.49, 1,255,717.77 and 410,673

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Solution

The fourth proportional to 837,728.49, 1,255,717.77 and 410,673 is: 615,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,728.49 : 1,255,717.77 = 410,673 : x
  2. Step 2: Convert to fraction form
    837,728.49/1,255,717.77 = 410,673/x
  3. Step 3: Cross multiply
    837,728.49x = 1,255,717.77 × 410,673
  4. Step 4: Simplify right side
    837,728.49x = 515,689,383,759.21
  5. Step 5: Solve for x
    x = 515,689,383,759.21/837,728.49
  6. Step 6: Final answer
    x = 615,580.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.