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Finding the Fourth Proportional to 320,804.40, 442,820.82 and 184,892.58

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Solution

The fourth proportional to 320,804.40, 442,820.82 and 184,892.58 is: 255,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,804.40 : 442,820.82 = 184,892.58 : x
  2. Step 2: Convert to fraction form
    320,804.40/442,820.82 = 184,892.58/x
  3. Step 3: Cross multiply
    320,804.40x = 442,820.82 × 184,892.58
  4. Step 4: Simplify right side
    320,804.40x = 81,874,283,887.52
  5. Step 5: Solve for x
    x = 81,874,283,887.52/320,804.40
  6. Step 6: Final answer
    x = 255,215.59

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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.