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Finding the Fourth Proportional to 269,427.20, 403,703.40 and 169,408.40

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Solution

The fourth proportional to 269,427.20, 403,703.40 and 169,408.40 is: 253,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,427.20 : 403,703.40 = 169,408.40 : x
  2. Step 2: Convert to fraction form
    269,427.20/403,703.40 = 169,408.40/x
  3. Step 3: Cross multiply
    269,427.20x = 403,703.40 × 169,408.40
  4. Step 4: Simplify right side
    269,427.20x = 68,390,747,068.56
  5. Step 5: Solve for x
    x = 68,390,747,068.56/269,427.20
  6. Step 6: Final answer
    x = 253,837.57

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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.