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Finding the Fourth Proportional to 685,201.64, 945,360.89 and 398,666.37

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Solution

The fourth proportional to 685,201.64, 945,360.89 and 398,666.37 is: 550,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,201.64 : 945,360.89 = 398,666.37 : x
  2. Step 2: Convert to fraction form
    685,201.64/945,360.89 = 398,666.37/x
  3. Step 3: Cross multiply
    685,201.64x = 945,360.89 × 398,666.37
  4. Step 4: Simplify right side
    685,201.64x = 376,883,592,362.94
  5. Step 5: Solve for x
    x = 376,883,592,362.94/685,201.64
  6. Step 6: Final answer
    x = 550,033.12

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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.