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Finding the Fourth Proportional to 287,788.70, 431,436.91 and 110,423

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Solution

The fourth proportional to 287,788.70, 431,436.91 and 110,423 is: 165,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,788.70 : 431,436.91 = 110,423 : x
  2. Step 2: Convert to fraction form
    287,788.70/431,436.91 = 110,423/x
  3. Step 3: Cross multiply
    287,788.70x = 431,436.91 × 110,423
  4. Step 4: Simplify right side
    287,788.70x = 47,640,557,912.93
  5. Step 5: Solve for x
    x = 47,640,557,912.93/287,788.70
  6. Step 6: Final answer
    x = 165,540.06

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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.