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Finding the Fourth Proportional to 380,527.50, 525,136.44 and 217,180.73

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Solution

The fourth proportional to 380,527.50, 525,136.44 and 217,180.73 is: 299,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,527.50 : 525,136.44 = 217,180.73 : x
  2. Step 2: Convert to fraction form
    380,527.50/525,136.44 = 217,180.73/x
  3. Step 3: Cross multiply
    380,527.50x = 525,136.44 × 217,180.73
  4. Step 4: Simplify right side
    380,527.50x = 114,049,512,763.12
  5. Step 5: Solve for x
    x = 114,049,512,763.12/380,527.50
  6. Step 6: Final answer
    x = 299,714.25

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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.