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Finding the Fourth Proportional to 803,096.76, 1,203,861.78 and 382,259.64

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Solution

The fourth proportional to 803,096.76, 1,203,861.78 and 382,259.64 is: 573,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,096.76 : 1,203,861.78 = 382,259.64 : x
  2. Step 2: Convert to fraction form
    803,096.76/1,203,861.78 = 382,259.64/x
  3. Step 3: Cross multiply
    803,096.76x = 1,203,861.78 × 382,259.64
  4. Step 4: Simplify right side
    803,096.76x = 460,187,770,632.56
  5. Step 5: Solve for x
    x = 460,187,770,632.56/803,096.76
  6. Step 6: Final answer
    x = 573,016.59

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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.