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Finding the Fourth Proportional to 295,902.10, 408,292.41 and 175,048.48

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Solution

The fourth proportional to 295,902.10, 408,292.41 and 175,048.48 is: 241,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902.10 : 408,292.41 = 175,048.48 : x
  2. Step 2: Convert to fraction form
    295,902.10/408,292.41 = 175,048.48/x
  3. Step 3: Cross multiply
    295,902.10x = 408,292.41 × 175,048.48
  4. Step 4: Simplify right side
    295,902.10x = 71,470,965,766.04
  5. Step 5: Solve for x
    x = 71,470,965,766.04/295,902.10
  6. Step 6: Final answer
    x = 241,535.85

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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.