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Finding the Fourth Proportional to 412,040.80, 617,635.04 and 234,164.80

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Solution

The fourth proportional to 412,040.80, 617,635.04 and 234,164.80 is: 351,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040.80 : 617,635.04 = 234,164.80 : x
  2. Step 2: Convert to fraction form
    412,040.80/617,635.04 = 234,164.80/x
  3. Step 3: Cross multiply
    412,040.80x = 617,635.04 × 234,164.80
  4. Step 4: Simplify right side
    412,040.80x = 144,628,385,614.59
  5. Step 5: Solve for x
    x = 144,628,385,614.59/412,040.80
  6. Step 6: Final answer
    x = 351,005.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.