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Finding the Fourth Proportional to 203,461.40, 304,608.90 and 197,629.40

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Solution

The fourth proportional to 203,461.40, 304,608.90 and 197,629.40 is: 295,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.40 : 304,608.90 = 197,629.40 : x
  2. Step 2: Convert to fraction form
    203,461.40/304,608.90 = 197,629.40/x
  3. Step 3: Cross multiply
    203,461.40x = 304,608.90 × 197,629.40
  4. Step 4: Simplify right side
    203,461.40x = 60,199,674,141.66
  5. Step 5: Solve for x
    x = 60,199,674,141.66/203,461.40
  6. Step 6: Final answer
    x = 295,877.62

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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.