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Finding the Fourth Proportional to 362,417.59, 543,584.16 and 96,198.78

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Solution

The fourth proportional to 362,417.59, 543,584.16 and 96,198.78 is: 144,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,417.59 : 543,584.16 = 96,198.78 : x
  2. Step 2: Convert to fraction form
    362,417.59/543,584.16 = 96,198.78/x
  3. Step 3: Cross multiply
    362,417.59x = 543,584.16 × 96,198.78
  4. Step 4: Simplify right side
    362,417.59x = 52,292,133,019.32
  5. Step 5: Solve for x
    x = 52,292,133,019.32/362,417.59
  6. Step 6: Final answer
    x = 144,286.96

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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.