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Finding the Fourth Proportional to 317,214.41, 475,670.96 and 184,135.46

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Solution

The fourth proportional to 317,214.41, 475,670.96 and 184,135.46 is: 276,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,214.41 : 475,670.96 = 184,135.46 : x
  2. Step 2: Convert to fraction form
    317,214.41/475,670.96 = 184,135.46/x
  3. Step 3: Cross multiply
    317,214.41x = 475,670.96 × 184,135.46
  4. Step 4: Simplify right side
    317,214.41x = 87,587,890,107.56
  5. Step 5: Solve for x
    x = 87,587,890,107.56/317,214.41
  6. Step 6: Final answer
    x = 276,115.74

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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.