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Finding the Fourth Proportional to 310,771.48, 466,159.92 and 100,409.44

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Solution

The fourth proportional to 310,771.48, 466,159.92 and 100,409.44 is: 150,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,771.48 : 466,159.92 = 100,409.44 : x
  2. Step 2: Convert to fraction form
    310,771.48/466,159.92 = 100,409.44/x
  3. Step 3: Cross multiply
    310,771.48x = 466,159.92 × 100,409.44
  4. Step 4: Simplify right side
    310,771.48x = 46,806,856,517.64
  5. Step 5: Solve for x
    x = 46,806,856,517.64/310,771.48
  6. Step 6: Final answer
    x = 150,615.03

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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.