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Finding the Fourth Proportional to 355,426.22, 490,409.16 and 204,523.22

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Solution

The fourth proportional to 355,426.22, 490,409.16 and 204,523.22 is: 282,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,426.22 : 490,409.16 = 204,523.22 : x
  2. Step 2: Convert to fraction form
    355,426.22/490,409.16 = 204,523.22/x
  3. Step 3: Cross multiply
    355,426.22x = 490,409.16 × 204,523.22
  4. Step 4: Simplify right side
    355,426.22x = 100,300,060,520.70
  5. Step 5: Solve for x
    x = 100,300,060,520.70/355,426.22
  6. Step 6: Final answer
    x = 282,196.57

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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.