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Finding the Fourth Proportional to 355,853, 491,083.38 and 194,722.16

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Solution

The fourth proportional to 355,853, 491,083.38 and 194,722.16 is: 268,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,853 : 491,083.38 = 194,722.16 : x
  2. Step 2: Convert to fraction form
    355,853/491,083.38 = 194,722.16/x
  3. Step 3: Cross multiply
    355,853x = 491,083.38 × 194,722.16
  4. Step 4: Simplify right side
    355,853x = 95,624,816,493.70
  5. Step 5: Solve for x
    x = 95,624,816,493.70/355,853
  6. Step 6: Final answer
    x = 268,720.00

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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.