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Finding the Fourth Proportional to 332,399.68, 498,755.23 and 163,828.12

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Solution

The fourth proportional to 332,399.68, 498,755.23 and 163,828.12 is: 245,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,399.68 : 498,755.23 = 163,828.12 : x
  2. Step 2: Convert to fraction form
    332,399.68/498,755.23 = 163,828.12/x
  3. Step 3: Cross multiply
    332,399.68x = 498,755.23 × 163,828.12
  4. Step 4: Simplify right side
    332,399.68x = 81,710,131,671.07
  5. Step 5: Solve for x
    x = 81,710,131,671.07/332,399.68
  6. Step 6: Final answer
    x = 245,818.92

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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.