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Finding the Fourth Proportional to 299,751.36, 413,933.13 and 192,508.23

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Solution

The fourth proportional to 299,751.36, 413,933.13 and 192,508.23 is: 265,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,751.36 : 413,933.13 = 192,508.23 : x
  2. Step 2: Convert to fraction form
    299,751.36/413,933.13 = 192,508.23/x
  3. Step 3: Cross multiply
    299,751.36x = 413,933.13 × 192,508.23
  4. Step 4: Simplify right side
    299,751.36x = 79,685,534,194.66
  5. Step 5: Solve for x
    x = 79,685,534,194.66/299,751.36
  6. Step 6: Final answer
    x = 265,838.77

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1.5x scale

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.