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Finding the Fourth Proportional to 320,419.33, 480,656.33 and 83,761.63

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Solution

The fourth proportional to 320,419.33, 480,656.33 and 83,761.63 is: 125,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419.33 : 480,656.33 = 83,761.63 : x
  2. Step 2: Convert to fraction form
    320,419.33/480,656.33 = 83,761.63/x
  3. Step 3: Cross multiply
    320,419.33x = 480,656.33 × 83,761.63
  4. Step 4: Simplify right side
    320,419.33x = 40,260,557,670.62
  5. Step 5: Solve for x
    x = 40,260,557,670.62/320,419.33
  6. Step 6: Final answer
    x = 125,649.59

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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.