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Finding the Fourth Proportional to 295,903.10, 408,293.79 and 175,049.48

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Solution

The fourth proportional to 295,903.10, 408,293.79 and 175,049.48 is: 241,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,903.10 : 408,293.79 = 175,049.48 : x
  2. Step 2: Convert to fraction form
    295,903.10/408,293.79 = 175,049.48/x
  3. Step 3: Cross multiply
    295,903.10x = 408,293.79 × 175,049.48
  4. Step 4: Simplify right side
    295,903.10x = 71,471,615,626.73
  5. Step 5: Solve for x
    x = 71,471,615,626.73/295,903.10
  6. Step 6: Final answer
    x = 241,537.23

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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.