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Finding the Fourth Proportional to 513,722.60, 770,367.04 and 153,944.48

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Solution

The fourth proportional to 513,722.60, 770,367.04 and 153,944.48 is: 230,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,722.60 : 770,367.04 = 153,944.48 : x
  2. Step 2: Convert to fraction form
    513,722.60/770,367.04 = 153,944.48/x
  3. Step 3: Cross multiply
    513,722.60x = 770,367.04 × 153,944.48
  4. Step 4: Simplify right side
    513,722.60x = 118,593,753,381.94
  5. Step 5: Solve for x
    x = 118,593,753,381.94/513,722.60
  6. Step 6: Final answer
    x = 230,851.73

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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.