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Finding the Fourth Proportional to 415,996.56, 624,099 and 238,703.76

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Solution

The fourth proportional to 415,996.56, 624,099 and 238,703.76 is: 358,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,996.56 : 624,099 = 238,703.76 : x
  2. Step 2: Convert to fraction form
    415,996.56/624,099 = 238,703.76/x
  3. Step 3: Cross multiply
    415,996.56x = 624,099 × 238,703.76
  4. Step 4: Simplify right side
    415,996.56x = 148,974,777,912.24
  5. Step 5: Solve for x
    x = 148,974,777,912.24/415,996.56
  6. Step 6: Final answer
    x = 358,115.41

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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.