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Finding the Fourth Proportional to 299,793.88, 413,675.74 and 192,509.25

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Solution

The fourth proportional to 299,793.88, 413,675.74 and 192,509.25 is: 265,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793.88 : 413,675.74 = 192,509.25 : x
  2. Step 2: Convert to fraction form
    299,793.88/413,675.74 = 192,509.25/x
  3. Step 3: Cross multiply
    299,793.88x = 413,675.74 × 192,509.25
  4. Step 4: Simplify right side
    299,793.88x = 79,636,406,450.60
  5. Step 5: Solve for x
    x = 79,636,406,450.60/299,793.88
  6. Step 6: Final answer
    x = 265,637.20

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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.