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Finding the Fourth Proportional to 465,661.44, 642,617.28 and 264,458.88

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Solution

The fourth proportional to 465,661.44, 642,617.28 and 264,458.88 is: 364,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,661.44 : 642,617.28 = 264,458.88 : x
  2. Step 2: Convert to fraction form
    465,661.44/642,617.28 = 264,458.88/x
  3. Step 3: Cross multiply
    465,661.44x = 642,617.28 × 264,458.88
  4. Step 4: Simplify right side
    465,661.44x = 169,945,846,137.45
  5. Step 5: Solve for x
    x = 169,945,846,137.45/465,661.44
  6. Step 6: Final answer
    x = 364,955.81

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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.