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Finding the Fourth Proportional to 403,546.96, 605,318.80 and 123,063.40

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Solution

The fourth proportional to 403,546.96, 605,318.80 and 123,063.40 is: 184,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,546.96 : 605,318.80 = 123,063.40 : x
  2. Step 2: Convert to fraction form
    403,546.96/605,318.80 = 123,063.40/x
  3. Step 3: Cross multiply
    403,546.96x = 605,318.80 × 123,063.40
  4. Step 4: Simplify right side
    403,546.96x = 74,492,589,611.92
  5. Step 5: Solve for x
    x = 74,492,589,611.92/403,546.96
  6. Step 6: Final answer
    x = 184,594.60

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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.