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Finding the Fourth Proportional to 294,696.60, 441,753.30 and 144,814.20

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Solution

The fourth proportional to 294,696.60, 441,753.30 and 144,814.20 is: 217,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,696.60 : 441,753.30 = 144,814.20 : x
  2. Step 2: Convert to fraction form
    294,696.60/441,753.30 = 144,814.20/x
  3. Step 3: Cross multiply
    294,696.60x = 441,753.30 × 144,814.20
  4. Step 4: Simplify right side
    294,696.60x = 63,972,150,736.86
  5. Step 5: Solve for x
    x = 63,972,150,736.86/294,696.60
  6. Step 6: Final answer
    x = 217,078.01

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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.