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Finding the Fourth Proportional to 415,246.10, 621,832.35 and 274,241.30

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Solution

The fourth proportional to 415,246.10, 621,832.35 and 274,241.30 is: 410,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,246.10 : 621,832.35 = 274,241.30 : x
  2. Step 2: Convert to fraction form
    415,246.10/621,832.35 = 274,241.30/x
  3. Step 3: Cross multiply
    415,246.10x = 621,832.35 × 274,241.30
  4. Step 4: Simplify right side
    415,246.10x = 170,532,112,046.06
  5. Step 5: Solve for x
    x = 170,532,112,046.06/415,246.10
  6. Step 6: Final answer
    x = 410,677.22

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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.