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Finding the Fourth Proportional to 298,961.53, 412,585.29 and 171,656.26

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Solution

The fourth proportional to 298,961.53, 412,585.29 and 171,656.26 is: 236,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.53 : 412,585.29 = 171,656.26 : x
  2. Step 2: Convert to fraction form
    298,961.53/412,585.29 = 171,656.26/x
  3. Step 3: Cross multiply
    298,961.53x = 412,585.29 × 171,656.26
  4. Step 4: Simplify right side
    298,961.53x = 70,822,846,780.95
  5. Step 5: Solve for x
    x = 70,822,846,780.95/298,961.53
  6. Step 6: Final answer
    x = 236,896.19

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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.