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Finding the Fourth Proportional to 321,072.64, 481,574.40 and 96,409.60

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Solution

The fourth proportional to 321,072.64, 481,574.40 and 96,409.60 is: 144,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,072.64 : 481,574.40 = 96,409.60 : x
  2. Step 2: Convert to fraction form
    321,072.64/481,574.40 = 96,409.60/x
  3. Step 3: Cross multiply
    321,072.64x = 481,574.40 × 96,409.60
  4. Step 4: Simplify right side
    321,072.64x = 46,428,395,274.24
  5. Step 5: Solve for x
    x = 46,428,395,274.24/321,072.64
  6. Step 6: Final answer
    x = 144,604.02

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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.