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Finding the Fourth Proportional to 413,039.45, 619,440.11 and 113,529.80

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Solution

The fourth proportional to 413,039.45, 619,440.11 and 113,529.80 is: 170,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,039.45 : 619,440.11 = 113,529.80 : x
  2. Step 2: Convert to fraction form
    413,039.45/619,440.11 = 113,529.80/x
  3. Step 3: Cross multiply
    413,039.45x = 619,440.11 × 113,529.80
  4. Step 4: Simplify right side
    413,039.45x = 70,324,913,206.97
  5. Step 5: Solve for x
    x = 70,324,913,206.97/413,039.45
  6. Step 6: Final answer
    x = 170,261.98

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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.