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Finding the Fourth Proportional to 418,241.46, 627,009.53 and 181,405.77

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Solution

The fourth proportional to 418,241.46, 627,009.53 and 181,405.77 is: 271,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,241.46 : 627,009.53 = 181,405.77 : x
  2. Step 2: Convert to fraction form
    418,241.46/627,009.53 = 181,405.77/x
  3. Step 3: Cross multiply
    418,241.46x = 627,009.53 × 181,405.77
  4. Step 4: Simplify right side
    418,241.46x = 113,743,145,679.96
  5. Step 5: Solve for x
    x = 113,743,145,679.96/418,241.46
  6. Step 6: Final answer
    x = 271,955.69

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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.