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Finding the Fourth Proportional to 407,966.25, 612,014.94 and 171,376.59

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Solution

The fourth proportional to 407,966.25, 612,014.94 and 171,376.59 is: 257,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,966.25 : 612,014.94 = 171,376.59 : x
  2. Step 2: Convert to fraction form
    407,966.25/612,014.94 = 171,376.59/x
  3. Step 3: Cross multiply
    407,966.25x = 612,014.94 × 171,376.59
  4. Step 4: Simplify right side
    407,966.25x = 104,885,033,446.26
  5. Step 5: Solve for x
    x = 104,885,033,446.26/407,966.25
  6. Step 6: Final answer
    x = 257,092.43

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Why These Related Problems?

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