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Finding the Fourth Proportional to 482,468.06, 665,370.11 and 301,196.75

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Solution

The fourth proportional to 482,468.06, 665,370.11 and 301,196.75 is: 415,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,468.06 : 665,370.11 = 301,196.75 : x
  2. Step 2: Convert to fraction form
    482,468.06/665,370.11 = 301,196.75/x
  3. Step 3: Cross multiply
    482,468.06x = 665,370.11 × 301,196.75
  4. Step 4: Simplify right side
    482,468.06x = 200,407,312,105.28
  5. Step 5: Solve for x
    x = 200,407,312,105.28/482,468.06
  6. Step 6: Final answer
    x = 415,379.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.