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Finding the Fourth Proportional to 418,241.71, 627,009.90 and 181,406.02

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Solution

The fourth proportional to 418,241.71, 627,009.90 and 181,406.02 is: 271,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,241.71 : 627,009.90 = 181,406.02 : x
  2. Step 2: Convert to fraction form
    418,241.71/627,009.90 = 181,406.02/x
  3. Step 3: Cross multiply
    418,241.71x = 627,009.90 × 181,406.02
  4. Step 4: Simplify right side
    418,241.71x = 113,743,370,459.60
  5. Step 5: Solve for x
    x = 113,743,370,459.60/418,241.71
  6. Step 6: Final answer
    x = 271,956.07

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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.