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Finding the Fourth Proportional to 386,775.84, 580,282.53 and 184,629.90

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Solution

The fourth proportional to 386,775.84, 580,282.53 and 184,629.90 is: 277,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,775.84 : 580,282.53 = 184,629.90 : x
  2. Step 2: Convert to fraction form
    386,775.84/580,282.53 = 184,629.90/x
  3. Step 3: Cross multiply
    386,775.84x = 580,282.53 × 184,629.90
  4. Step 4: Simplify right side
    386,775.84x = 107,137,504,562.50
  5. Step 5: Solve for x
    x = 107,137,504,562.50/386,775.84
  6. Step 6: Final answer
    x = 277,001.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.