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Finding the Fourth Proportional to 643,005.64, 964,311.48 and 444,601

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Solution

The fourth proportional to 643,005.64, 964,311.48 and 444,601 is: 666,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,005.64 : 964,311.48 = 444,601 : x
  2. Step 2: Convert to fraction form
    643,005.64/964,311.48 = 444,601/x
  3. Step 3: Cross multiply
    643,005.64x = 964,311.48 × 444,601
  4. Step 4: Simplify right side
    643,005.64x = 428,733,848,319.48
  5. Step 5: Solve for x
    x = 428,733,848,319.48/643,005.64
  6. Step 6: Final answer
    x = 666,765.30

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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.