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Finding the Fourth Proportional to 339,452, 509,178 and 117,836

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Solution

The fourth proportional to 339,452, 509,178 and 117,836 is: 176,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,452 : 509,178 = 117,836 : x
  2. Step 2: Convert to fraction form
    339,452/509,178 = 117,836/x
  3. Step 3: Cross multiply
    339,452x = 509,178 × 117,836
  4. Step 4: Simplify right side
    339,452x = 59,999,498,808
  5. Step 5: Solve for x
    x = 59,999,498,808/339,452
  6. Step 6: Final answer
    x = 176,754

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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.