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Finding the Fourth Proportional to 548,674.94, 757,430.26 and 412,760.64

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Solution

The fourth proportional to 548,674.94, 757,430.26 and 412,760.64 is: 569,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,674.94 : 757,430.26 = 412,760.64 : x
  2. Step 2: Convert to fraction form
    548,674.94/757,430.26 = 412,760.64/x
  3. Step 3: Cross multiply
    548,674.94x = 757,430.26 × 412,760.64
  4. Step 4: Simplify right side
    548,674.94x = 312,637,398,872.97
  5. Step 5: Solve for x
    x = 312,637,398,872.97/548,674.94
  6. Step 6: Final answer
    x = 569,804.41

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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.