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Finding the Fourth Proportional to 379,516.16, 569,367.66 and 267,415.30

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Solution

The fourth proportional to 379,516.16, 569,367.66 and 267,415.30 is: 401,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,516.16 : 569,367.66 = 267,415.30 : x
  2. Step 2: Convert to fraction form
    379,516.16/569,367.66 = 267,415.30/x
  3. Step 3: Cross multiply
    379,516.16x = 569,367.66 × 267,415.30
  4. Step 4: Simplify right side
    379,516.16x = 152,257,623,609.20
  5. Step 5: Solve for x
    x = 152,257,623,609.20/379,516.16
  6. Step 6: Final answer
    x = 401,188.78

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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.