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Finding the Fourth Proportional to 295,859.97, 408,315.33 and 175,040.10

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Solution

The fourth proportional to 295,859.97, 408,315.33 and 175,040.10 is: 241,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,859.97 : 408,315.33 = 175,040.10 : x
  2. Step 2: Convert to fraction form
    295,859.97/408,315.33 = 175,040.10/x
  3. Step 3: Cross multiply
    295,859.97x = 408,315.33 × 175,040.10
  4. Step 4: Simplify right side
    295,859.97x = 71,471,556,194.73
  5. Step 5: Solve for x
    x = 71,471,556,194.73/295,859.97
  6. Step 6: Final answer
    x = 241,572.24

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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.