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Finding the Fourth Proportional to 317,283.78, 475,772.58 and 184,197.54

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Solution

The fourth proportional to 317,283.78, 475,772.58 and 184,197.54 is: 276,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283.78 : 475,772.58 = 184,197.54 : x
  2. Step 2: Convert to fraction form
    317,283.78/475,772.58 = 184,197.54/x
  3. Step 3: Cross multiply
    317,283.78x = 475,772.58 × 184,197.54
  4. Step 4: Simplify right side
    317,283.78x = 87,636,137,914.47
  5. Step 5: Solve for x
    x = 87,636,137,914.47/317,283.78
  6. Step 6: Final answer
    x = 276,207.43

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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.