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Finding the Fourth Proportional to 332,185.96, 498,629.64 and 154,864

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Solution

The fourth proportional to 332,185.96, 498,629.64 and 154,864 is: 232,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,185.96 : 498,629.64 = 154,864 : x
  2. Step 2: Convert to fraction form
    332,185.96/498,629.64 = 154,864/x
  3. Step 3: Cross multiply
    332,185.96x = 498,629.64 × 154,864
  4. Step 4: Simplify right side
    332,185.96x = 77,219,780,568.96
  5. Step 5: Solve for x
    x = 77,219,780,568.96/332,185.96
  6. Step 6: Final answer
    x = 232,459.50

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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.