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Finding the Fourth Proportional to 397,591.88, 595,971.32 and 194,908.01

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Solution

The fourth proportional to 397,591.88, 595,971.32 and 194,908.01 is: 292,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,591.88 : 595,971.32 = 194,908.01 : x
  2. Step 2: Convert to fraction form
    397,591.88/595,971.32 = 194,908.01/x
  3. Step 3: Cross multiply
    397,591.88x = 595,971.32 × 194,908.01
  4. Step 4: Simplify right side
    397,591.88x = 116,159,580,043.88
  5. Step 5: Solve for x
    x = 116,159,580,043.88/397,591.88
  6. Step 6: Final answer
    x = 292,157.83

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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.