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Finding the Fourth Proportional to 461,096.88, 691,705.80 and 180,577.68

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Solution

The fourth proportional to 461,096.88, 691,705.80 and 180,577.68 is: 270,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,096.88 : 691,705.80 = 180,577.68 : x
  2. Step 2: Convert to fraction form
    461,096.88/691,705.80 = 180,577.68/x
  3. Step 3: Cross multiply
    461,096.88x = 691,705.80 × 180,577.68
  4. Step 4: Simplify right side
    461,096.88x = 124,906,628,606.54
  5. Step 5: Solve for x
    x = 124,906,628,606.54/461,096.88
  6. Step 6: Final answer
    x = 270,890.21

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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.