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Finding the Fourth Proportional to 320,761.22, 442,683.43 and 184,800.29

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Solution

The fourth proportional to 320,761.22, 442,683.43 and 184,800.29 is: 255,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,761.22 : 442,683.43 = 184,800.29 : x
  2. Step 2: Convert to fraction form
    320,761.22/442,683.43 = 184,800.29/x
  3. Step 3: Cross multiply
    320,761.22x = 442,683.43 × 184,800.29
  4. Step 4: Simplify right side
    320,761.22x = 81,808,023,566.78
  5. Step 5: Solve for x
    x = 81,808,023,566.78/320,761.22
  6. Step 6: Final answer
    x = 255,043.38

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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.