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Finding the Fourth Proportional to 309,956.94, 464,935.41 and 122,968.44

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Solution

The fourth proportional to 309,956.94, 464,935.41 and 122,968.44 is: 184,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,956.94 : 464,935.41 = 122,968.44 : x
  2. Step 2: Convert to fraction form
    309,956.94/464,935.41 = 122,968.44/x
  3. Step 3: Cross multiply
    309,956.94x = 464,935.41 × 122,968.44
  4. Step 4: Simplify right side
    309,956.94x = 57,172,382,068.46
  5. Step 5: Solve for x
    x = 57,172,382,068.46/309,956.94
  6. Step 6: Final answer
    x = 184,452.66

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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.