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Finding the Fourth Proportional to 465,638.38, 642,634.23 and 258,927.38

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Solution

The fourth proportional to 465,638.38, 642,634.23 and 258,927.38 is: 357,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,638.38 : 642,634.23 = 258,927.38 : x
  2. Step 2: Convert to fraction form
    465,638.38/642,634.23 = 258,927.38/x
  3. Step 3: Cross multiply
    465,638.38x = 642,634.23 × 258,927.38
  4. Step 4: Simplify right side
    465,638.38x = 166,395,597,472.22
  5. Step 5: Solve for x
    x = 166,395,597,472.22/465,638.38
  6. Step 6: Final answer
    x = 357,349.40

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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.