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Finding the Fourth Proportional to 320,694.46, 442,605.06 and 184,701.94

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Solution

The fourth proportional to 320,694.46, 442,605.06 and 184,701.94 is: 254,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,694.46 : 442,605.06 = 184,701.94 : x
  2. Step 2: Convert to fraction form
    320,694.46/442,605.06 = 184,701.94/x
  3. Step 3: Cross multiply
    320,694.46x = 442,605.06 × 184,701.94
  4. Step 4: Simplify right side
    320,694.46x = 81,750,012,129.30
  5. Step 5: Solve for x
    x = 81,750,012,129.30/320,694.46
  6. Step 6: Final answer
    x = 254,915.58

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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.