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Finding the Fourth Proportional to 355,502.75, 490,605.53 and 194,362.16

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Solution

The fourth proportional to 355,502.75, 490,605.53 and 194,362.16 is: 268,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,502.75 : 490,605.53 = 194,362.16 : x
  2. Step 2: Convert to fraction form
    355,502.75/490,605.53 = 194,362.16/x
  3. Step 3: Cross multiply
    355,502.75x = 490,605.53 × 194,362.16
  4. Step 4: Simplify right side
    355,502.75x = 95,355,147,093.91
  5. Step 5: Solve for x
    x = 95,355,147,093.91/355,502.75
  6. Step 6: Final answer
    x = 268,226.19

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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.