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Finding the Fourth Proportional to 602,198.34, 903,647.34 and 269,774.34

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Solution

The fourth proportional to 602,198.34, 903,647.34 and 269,774.34 is: 404,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,198.34 : 903,647.34 = 269,774.34 : x
  2. Step 2: Convert to fraction form
    602,198.34/903,647.34 = 269,774.34/x
  3. Step 3: Cross multiply
    602,198.34x = 903,647.34 × 269,774.34
  4. Step 4: Simplify right side
    602,198.34x = 243,780,864,741.26
  5. Step 5: Solve for x
    x = 243,780,864,741.26/602,198.34
  6. Step 6: Final answer
    x = 404,818.23

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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.