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Finding the Fourth Proportional to 307,906, 461,872.44 and 97,559.44

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Solution

The fourth proportional to 307,906, 461,872.44 and 97,559.44 is: 146,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,906 : 461,872.44 = 97,559.44 : x
  2. Step 2: Convert to fraction form
    307,906/461,872.44 = 97,559.44/x
  3. Step 3: Cross multiply
    307,906x = 461,872.44 × 97,559.44
  4. Step 4: Simplify right side
    307,906x = 45,060,016,597.83
  5. Step 5: Solve for x
    x = 45,060,016,597.83/307,906
  6. Step 6: Final answer
    x = 146,343.42

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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.