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Finding the Fourth Proportional to 965,873.63, 1,448,863.74 and 291,937.97

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Solution

The fourth proportional to 965,873.63, 1,448,863.74 and 291,937.97 is: 437,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,873.63 : 1,448,863.74 = 291,937.97 : x
  2. Step 2: Convert to fraction form
    965,873.63/1,448,863.74 = 291,937.97/x
  3. Step 3: Cross multiply
    965,873.63x = 1,448,863.74 × 291,937.97
  4. Step 4: Simplify right side
    965,873.63x = 422,978,331,817.89
  5. Step 5: Solve for x
    x = 422,978,331,817.89/965,873.63
  6. Step 6: Final answer
    x = 437,923.06

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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.