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Finding the Fourth Proportional to 294,213.60, 441,199.44 and 116,696.16

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Solution

The fourth proportional to 294,213.60, 441,199.44 and 116,696.16 is: 174,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,213.60 : 441,199.44 = 116,696.16 : x
  2. Step 2: Convert to fraction form
    294,213.60/441,199.44 = 116,696.16/x
  3. Step 3: Cross multiply
    294,213.60x = 441,199.44 × 116,696.16
  4. Step 4: Simplify right side
    294,213.60x = 51,486,280,442.15
  5. Step 5: Solve for x
    x = 51,486,280,442.15/294,213.60
  6. Step 6: Final answer
    x = 174,996.26

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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.