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Finding the Fourth Proportional to 407,825.88, 611,868.82 and 171,105

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Solution

The fourth proportional to 407,825.88, 611,868.82 and 171,105 is: 256,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,825.88 : 611,868.82 = 171,105 : x
  2. Step 2: Convert to fraction form
    407,825.88/611,868.82 = 171,105/x
  3. Step 3: Cross multiply
    407,825.88x = 611,868.82 × 171,105
  4. Step 4: Simplify right side
    407,825.88x = 104,693,814,446.10
  5. Step 5: Solve for x
    x = 104,693,814,446.10/407,825.88
  6. Step 6: Final answer
    x = 256,712.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.