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Finding the Fourth Proportional to 468,177.89, 646,084.73 and 264,271.73

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Solution

The fourth proportional to 468,177.89, 646,084.73 and 264,271.73 is: 364,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,177.89 : 646,084.73 = 264,271.73 : x
  2. Step 2: Convert to fraction form
    468,177.89/646,084.73 = 264,271.73/x
  3. Step 3: Cross multiply
    468,177.89x = 646,084.73 × 264,271.73
  4. Step 4: Simplify right side
    468,177.89x = 170,741,928,002.32
  5. Step 5: Solve for x
    x = 170,741,928,002.32/468,177.89
  6. Step 6: Final answer
    x = 364,694.56

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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.