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Finding the Fourth Proportional to 382,850.42, 574,275.62 and 102,360.38

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Solution

The fourth proportional to 382,850.42, 574,275.62 and 102,360.38 is: 153,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,850.42 : 574,275.62 = 102,360.38 : x
  2. Step 2: Convert to fraction form
    382,850.42/574,275.62 = 102,360.38/x
  3. Step 3: Cross multiply
    382,850.42x = 574,275.62 × 102,360.38
  4. Step 4: Simplify right side
    382,850.42x = 58,783,068,072.46
  5. Step 5: Solve for x
    x = 58,783,068,072.46/382,850.42
  6. Step 6: Final answer
    x = 153,540.56

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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.