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Finding the Fourth Proportional to 362,196.86, 543,863.94 and 306,763.70

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Solution

The fourth proportional to 362,196.86, 543,863.94 and 306,763.70 is: 460,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,196.86 : 543,863.94 = 306,763.70 : x
  2. Step 2: Convert to fraction form
    362,196.86/543,863.94 = 306,763.70/x
  3. Step 3: Cross multiply
    362,196.86x = 543,863.94 × 306,763.70
  4. Step 4: Simplify right side
    362,196.86x = 166,837,714,530.98
  5. Step 5: Solve for x
    x = 166,837,714,530.98/362,196.86
  6. Step 6: Final answer
    x = 460,627.17

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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.