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Finding the Fourth Proportional to 332,502.30, 498,826.35 and 164,103.30

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Solution

The fourth proportional to 332,502.30, 498,826.35 and 164,103.30 is: 246,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,502.30 : 498,826.35 = 164,103.30 : x
  2. Step 2: Convert to fraction form
    332,502.30/498,826.35 = 164,103.30/x
  3. Step 3: Cross multiply
    332,502.30x = 498,826.35 × 164,103.30
  4. Step 4: Simplify right side
    332,502.30x = 81,859,050,161.96
  5. Step 5: Solve for x
    x = 81,859,050,161.96/332,502.30
  6. Step 6: Final answer
    x = 246,190.93

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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.