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Finding the Fourth Proportional to 355,350.24, 490,242.96 and 204,366.24

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Solution

The fourth proportional to 355,350.24, 490,242.96 and 204,366.24 is: 281,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,350.24 : 490,242.96 = 204,366.24 : x
  2. Step 2: Convert to fraction form
    355,350.24/490,242.96 = 204,366.24/x
  3. Step 3: Cross multiply
    355,350.24x = 490,242.96 × 204,366.24
  4. Step 4: Simplify right side
    355,350.24x = 100,189,110,421.67
  5. Step 5: Solve for x
    x = 100,189,110,421.67/355,350.24
  6. Step 6: Final answer
    x = 281,944.68

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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.