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Finding the Fourth Proportional to 409,072.44, 613,511.46 and 184,294.20

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Solution

The fourth proportional to 409,072.44, 613,511.46 and 184,294.20 is: 276,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072.44 : 613,511.46 = 184,294.20 : x
  2. Step 2: Convert to fraction form
    409,072.44/613,511.46 = 184,294.20/x
  3. Step 3: Cross multiply
    409,072.44x = 613,511.46 × 184,294.20
  4. Step 4: Simplify right side
    409,072.44x = 113,066,603,711.53
  5. Step 5: Solve for x
    x = 113,066,603,711.53/409,072.44
  6. Step 6: Final answer
    x = 276,397.51

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1.5x scale

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.