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Finding the Fourth Proportional to 355,604.28, 490,733.70 and 194,459.33

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Solution

The fourth proportional to 355,604.28, 490,733.70 and 194,459.33 is: 268,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,604.28 : 490,733.70 = 194,459.33 : x
  2. Step 2: Convert to fraction form
    355,604.28/490,733.70 = 194,459.33/x
  3. Step 3: Cross multiply
    355,604.28x = 490,733.70 × 194,459.33
  4. Step 4: Simplify right side
    355,604.28x = 95,427,746,510.42
  5. Step 5: Solve for x
    x = 95,427,746,510.42/355,604.28
  6. Step 6: Final answer
    x = 268,353.76

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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.