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Finding the Fourth Proportional to 309,957.94, 464,936.91 and 122,969.44

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Solution

The fourth proportional to 309,957.94, 464,936.91 and 122,969.44 is: 184,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,957.94 : 464,936.91 = 122,969.44 : x
  2. Step 2: Convert to fraction form
    309,957.94/464,936.91 = 122,969.44/x
  3. Step 3: Cross multiply
    309,957.94x = 464,936.91 × 122,969.44
  4. Step 4: Simplify right side
    309,957.94x = 57,173,031,458.03
  5. Step 5: Solve for x
    x = 57,173,031,458.03/309,957.94
  6. Step 6: Final answer
    x = 184,454.16

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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.