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Finding the Fourth Proportional to 386,732.84, 580,114.81 and 184,224.84

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Solution

The fourth proportional to 386,732.84, 580,114.81 and 184,224.84 is: 276,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732.84 : 580,114.81 = 184,224.84 : x
  2. Step 2: Convert to fraction form
    386,732.84/580,114.81 = 184,224.84/x
  3. Step 3: Cross multiply
    386,732.84x = 580,114.81 × 184,224.84
  4. Step 4: Simplify right side
    386,732.84x = 106,871,558,053.88
  5. Step 5: Solve for x
    x = 106,871,558,053.88/386,732.84
  6. Step 6: Final answer
    x = 276,344.67

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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.