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Finding the Fourth Proportional to 322,044, 444,434.60 and 178,804.06

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Solution

The fourth proportional to 322,044, 444,434.60 and 178,804.06 is: 246,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,044 : 444,434.60 = 178,804.06 : x
  2. Step 2: Convert to fraction form
    322,044/444,434.60 = 178,804.06/x
  3. Step 3: Cross multiply
    322,044x = 444,434.60 × 178,804.06
  4. Step 4: Simplify right side
    322,044x = 79,466,710,884.48
  5. Step 5: Solve for x
    x = 79,466,710,884.48/322,044
  6. Step 6: Final answer
    x = 246,757.31

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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.