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Finding the Fourth Proportional to 379,181.84, 523,507.59 and 241,438.50

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Solution

The fourth proportional to 379,181.84, 523,507.59 and 241,438.50 is: 333,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,181.84 : 523,507.59 = 241,438.50 : x
  2. Step 2: Convert to fraction form
    379,181.84/523,507.59 = 241,438.50/x
  3. Step 3: Cross multiply
    379,181.84x = 523,507.59 × 241,438.50
  4. Step 4: Simplify right side
    379,181.84x = 126,394,887,268.22
  5. Step 5: Solve for x
    x = 126,394,887,268.22/379,181.84
  6. Step 6: Final answer
    x = 333,335.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.