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Finding the Fourth Proportional to 317,305, 475,910.74 and 104,095.41

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Solution

The fourth proportional to 317,305, 475,910.74 and 104,095.41 is: 156,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,305 : 475,910.74 = 104,095.41 : x
  2. Step 2: Convert to fraction form
    317,305/475,910.74 = 104,095.41/x
  3. Step 3: Cross multiply
    317,305x = 475,910.74 × 104,095.41
  4. Step 4: Simplify right side
    317,305x = 49,540,123,603.70
  5. Step 5: Solve for x
    x = 49,540,123,603.70/317,305
  6. Step 6: Final answer
    x = 156,127.77

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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.