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Finding the Fourth Proportional to 314,072.32, 433,424 and 179,936

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Solution

The fourth proportional to 314,072.32, 433,424 and 179,936 is: 248,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,072.32 : 433,424 = 179,936 : x
  2. Step 2: Convert to fraction form
    314,072.32/433,424 = 179,936/x
  3. Step 3: Cross multiply
    314,072.32x = 433,424 × 179,936
  4. Step 4: Simplify right side
    314,072.32x = 77,988,580,864
  5. Step 5: Solve for x
    x = 77,988,580,864/314,072.32
  6. Step 6: Final answer
    x = 248,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.