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Finding the Fourth Proportional to 386,732.06, 580,113.82 and 184,224.06

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Solution

The fourth proportional to 386,732.06, 580,113.82 and 184,224.06 is: 276,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,732.06 : 580,113.82 = 184,224.06 : x
  2. Step 2: Convert to fraction form
    386,732.06/580,113.82 = 184,224.06/x
  3. Step 3: Cross multiply
    386,732.06x = 580,113.82 × 184,224.06
  4. Step 4: Simplify right side
    386,732.06x = 106,870,923,182.51
  5. Step 5: Solve for x
    x = 106,870,923,182.51/386,732.06
  6. Step 6: Final answer
    x = 276,343.58

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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.