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Finding the Fourth Proportional to 299,092.33, 412,782.89 and 170,050.25

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Solution

The fourth proportional to 299,092.33, 412,782.89 and 170,050.25 is: 234,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.33 : 412,782.89 = 170,050.25 : x
  2. Step 2: Convert to fraction form
    299,092.33/412,782.89 = 170,050.25/x
  3. Step 3: Cross multiply
    299,092.33x = 412,782.89 × 170,050.25
  4. Step 4: Simplify right side
    299,092.33x = 70,193,833,821.93
  5. Step 5: Solve for x
    x = 70,193,833,821.93/299,092.33
  6. Step 6: Final answer
    x = 234,689.51

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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.