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Finding the Fourth Proportional to 365,101.70, 547,858.74 and 196,618.46

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Solution

The fourth proportional to 365,101.70, 547,858.74 and 196,618.46 is: 295,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,101.70 : 547,858.74 = 196,618.46 : x
  2. Step 2: Convert to fraction form
    365,101.70/547,858.74 = 196,618.46/x
  3. Step 3: Cross multiply
    365,101.70x = 547,858.74 × 196,618.46
  4. Step 4: Simplify right side
    365,101.70x = 107,719,141,756.34
  5. Step 5: Solve for x
    x = 107,719,141,756.34/365,101.70
  6. Step 6: Final answer
    x = 295,038.73

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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.