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Finding the Fourth Proportional to 386,732.34, 580,114.06 and 184,224.34

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Solution

The fourth proportional to 386,732.34, 580,114.06 and 184,224.34 is: 276,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732.34 : 580,114.06 = 184,224.34 : x
  2. Step 2: Convert to fraction form
    386,732.34/580,114.06 = 184,224.34/x
  3. Step 3: Cross multiply
    386,732.34x = 580,114.06 × 184,224.34
  4. Step 4: Simplify right side
    386,732.34x = 106,871,129,828.22
  5. Step 5: Solve for x
    x = 106,871,129,828.22/386,732.34
  6. Step 6: Final answer
    x = 276,343.92

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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.