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Finding the Fourth Proportional to 380,631.84, 525,229.56 and 210,823.44

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Solution

The fourth proportional to 380,631.84, 525,229.56 and 210,823.44 is: 290,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,631.84 : 525,229.56 = 210,823.44 : x
  2. Step 2: Convert to fraction form
    380,631.84/525,229.56 = 210,823.44/x
  3. Step 3: Cross multiply
    380,631.84x = 525,229.56 × 210,823.44
  4. Step 4: Simplify right side
    380,631.84x = 110,730,702,628.89
  5. Step 5: Solve for x
    x = 110,730,702,628.89/380,631.84
  6. Step 6: Final answer
    x = 290,912.87

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