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Finding the Fourth Proportional to 229,647.80, 317,068.60 and 205,373.44

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Solution

The fourth proportional to 229,647.80, 317,068.60 and 205,373.44 is: 283,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,647.80 : 317,068.60 = 205,373.44 : x
  2. Step 2: Convert to fraction form
    229,647.80/317,068.60 = 205,373.44/x
  3. Step 3: Cross multiply
    229,647.80x = 317,068.60 × 205,373.44
  4. Step 4: Simplify right side
    229,647.80x = 65,117,469,097.98
  5. Step 5: Solve for x
    x = 65,117,469,097.98/229,647.80
  6. Step 6: Final answer
    x = 283,553.64

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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.