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Finding the Fourth Proportional to 965,928, 1,448,971.92 and 301,080

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Solution

The fourth proportional to 965,928, 1,448,971.92 and 301,080 is: 451,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,928 : 1,448,971.92 = 301,080 : x
  2. Step 2: Convert to fraction form
    965,928/1,448,971.92 = 301,080/x
  3. Step 3: Cross multiply
    965,928x = 1,448,971.92 × 301,080
  4. Step 4: Simplify right side
    965,928x = 436,256,465,673.60
  5. Step 5: Solve for x
    x = 436,256,465,673.60/965,928
  6. Step 6: Final answer
    x = 451,644.91

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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.