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Finding the Fourth Proportional to 299,786.58, 413,509.59 and 192,186.18

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Solution

The fourth proportional to 299,786.58, 413,509.59 and 192,186.18 is: 265,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,786.58 : 413,509.59 = 192,186.18 : x
  2. Step 2: Convert to fraction form
    299,786.58/413,509.59 = 192,186.18/x
  3. Step 3: Cross multiply
    299,786.58x = 413,509.59 × 192,186.18
  4. Step 4: Simplify right side
    299,786.58x = 79,470,828,495.47
  5. Step 5: Solve for x
    x = 79,470,828,495.47/299,786.58
  6. Step 6: Final answer
    x = 265,091.35

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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.