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Finding the Fourth Proportional to 410,310.16, 566,527.96 and 265,201.80

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Solution

The fourth proportional to 410,310.16, 566,527.96 and 265,201.80 is: 366,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,310.16 : 566,527.96 = 265,201.80 : x
  2. Step 2: Convert to fraction form
    410,310.16/566,527.96 = 265,201.80/x
  3. Step 3: Cross multiply
    410,310.16x = 566,527.96 × 265,201.80
  4. Step 4: Simplify right side
    410,310.16x = 150,244,234,742.33
  5. Step 5: Solve for x
    x = 150,244,234,742.33/410,310.16
  6. Step 6: Final answer
    x = 366,172.35

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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.