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Finding the Fourth Proportional to 355,097.25, 490,048.79 and 204,194.25

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Solution

The fourth proportional to 355,097.25, 490,048.79 and 204,194.25 is: 281,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,097.25 : 490,048.79 = 204,194.25 : x
  2. Step 2: Convert to fraction form
    355,097.25/490,048.79 = 204,194.25/x
  3. Step 3: Cross multiply
    355,097.25x = 490,048.79 × 204,194.25
  4. Step 4: Simplify right side
    355,097.25x = 100,065,144,116.49
  5. Step 5: Solve for x
    x = 100,065,144,116.49/355,097.25
  6. Step 6: Final answer
    x = 281,796.45

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1.5x scale

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.