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Finding the Fourth Proportional to 339,472, 509,208 and 117,856

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Solution

The fourth proportional to 339,472, 509,208 and 117,856 is: 176,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,472 : 509,208 = 117,856 : x
  2. Step 2: Convert to fraction form
    339,472/509,208 = 117,856/x
  3. Step 3: Cross multiply
    339,472x = 509,208 × 117,856
  4. Step 4: Simplify right side
    339,472x = 60,013,218,048
  5. Step 5: Solve for x
    x = 60,013,218,048/339,472
  6. Step 6: Final answer
    x = 176,784

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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.