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Finding the Fourth Proportional to 381,597.40, 571,935.30 and 194,512.60

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Solution

The fourth proportional to 381,597.40, 571,935.30 and 194,512.60 is: 291,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,597.40 : 571,935.30 = 194,512.60 : x
  2. Step 2: Convert to fraction form
    381,597.40/571,935.30 = 194,512.60/x
  3. Step 3: Cross multiply
    381,597.40x = 571,935.30 × 194,512.60
  4. Step 4: Simplify right side
    381,597.40x = 111,248,622,234.78
  5. Step 5: Solve for x
    x = 111,248,622,234.78/381,597.40
  6. Step 6: Final answer
    x = 291,534.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.