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Finding the Fourth Proportional to 412,185.36, 618,366.21 and 127,869.74

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Solution

The fourth proportional to 412,185.36, 618,366.21 and 127,869.74 is: 191,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,185.36 : 618,366.21 = 127,869.74 : x
  2. Step 2: Convert to fraction form
    412,185.36/618,366.21 = 127,869.74/x
  3. Step 3: Cross multiply
    412,185.36x = 618,366.21 × 127,869.74
  4. Step 4: Simplify right side
    412,185.36x = 79,070,323,405.65
  5. Step 5: Solve for x
    x = 79,070,323,405.65/412,185.36
  6. Step 6: Final answer
    x = 191,831.95

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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.