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Finding the Fourth Proportional to 897,105.38, 1,238,005.42 and 494,697.38

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Solution

The fourth proportional to 897,105.38, 1,238,005.42 and 494,697.38 is: 682,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,105.38 : 1,238,005.42 = 494,697.38 : x
  2. Step 2: Convert to fraction form
    897,105.38/1,238,005.42 = 494,697.38/x
  3. Step 3: Cross multiply
    897,105.38x = 1,238,005.42 × 494,697.38
  4. Step 4: Simplify right side
    897,105.38x = 612,438,030,273.03
  5. Step 5: Solve for x
    x = 612,438,030,273.03/897,105.38
  6. Step 6: Final answer
    x = 682,682.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.