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Finding the Fourth Proportional to 355,798.17, 490,999.73 and 194,650.29

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Solution

The fourth proportional to 355,798.17, 490,999.73 and 194,650.29 is: 268,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,798.17 : 490,999.73 = 194,650.29 : x
  2. Step 2: Convert to fraction form
    355,798.17/490,999.73 = 194,650.29/x
  3. Step 3: Cross multiply
    355,798.17x = 490,999.73 × 194,650.29
  4. Step 4: Simplify right side
    355,798.17x = 95,573,238,861.17
  5. Step 5: Solve for x
    x = 95,573,238,861.17/355,798.17
  6. Step 6: Final answer
    x = 268,616.44

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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.