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Finding the Fourth Proportional to 412,040.59, 618,156.74 and 127,716.06

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Solution

The fourth proportional to 412,040.59, 618,156.74 and 127,716.06 is: 191,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040.59 : 618,156.74 = 127,716.06 : x
  2. Step 2: Convert to fraction form
    412,040.59/618,156.74 = 127,716.06/x
  3. Step 3: Cross multiply
    412,040.59x = 618,156.74 × 127,716.06
  4. Step 4: Simplify right side
    412,040.59x = 78,948,543,295.24
  5. Step 5: Solve for x
    x = 78,948,543,295.24/412,040.59
  6. Step 6: Final answer
    x = 191,603.80

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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.