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Finding the Fourth Proportional to 299,053.91, 412,695.08 and 169,993.22

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Solution

The fourth proportional to 299,053.91, 412,695.08 and 169,993.22 is: 234,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.91 : 412,695.08 = 169,993.22 : x
  2. Step 2: Convert to fraction form
    299,053.91/412,695.08 = 169,993.22/x
  3. Step 3: Cross multiply
    299,053.91x = 412,695.08 × 169,993.22
  4. Step 4: Simplify right side
    299,053.91x = 70,155,362,613.92
  5. Step 5: Solve for x
    x = 70,155,362,613.92/299,053.91
  6. Step 6: Final answer
    x = 234,591.03

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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.