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Finding the Fourth Proportional to 332,709.80, 498,983.70 and 96,027.80

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Solution

The fourth proportional to 332,709.80, 498,983.70 and 96,027.80 is: 144,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,709.80 : 498,983.70 = 96,027.80 : x
  2. Step 2: Convert to fraction form
    332,709.80/498,983.70 = 96,027.80/x
  3. Step 3: Cross multiply
    332,709.80x = 498,983.70 × 96,027.80
  4. Step 4: Simplify right side
    332,709.80x = 47,916,306,946.86
  5. Step 5: Solve for x
    x = 47,916,306,946.86/332,709.80
  6. Step 6: Final answer
    x = 144,018.32

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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.