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Finding the Fourth Proportional to 332,254, 498,376.32 and 154,661.68

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Solution

The fourth proportional to 332,254, 498,376.32 and 154,661.68 is: 231,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,254 : 498,376.32 = 154,661.68 : x
  2. Step 2: Convert to fraction form
    332,254/498,376.32 = 154,661.68/x
  3. Step 3: Cross multiply
    332,254x = 498,376.32 × 154,661.68
  4. Step 4: Simplify right side
    332,254x = 77,079,718,923.42
  5. Step 5: Solve for x
    x = 77,079,718,923.42/332,254
  6. Step 6: Final answer
    x = 231,990.34

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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.