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Finding the Fourth Proportional to 332,134.40, 498,398.44 and 311,118.54

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Solution

The fourth proportional to 332,134.40, 498,398.44 and 311,118.54 is: 466,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,134.40 : 498,398.44 = 311,118.54 : x
  2. Step 2: Convert to fraction form
    332,134.40/498,398.44 = 311,118.54/x
  3. Step 3: Cross multiply
    332,134.40x = 498,398.44 × 311,118.54
  4. Step 4: Simplify right side
    332,134.40x = 155,060,994,991.08
  5. Step 5: Solve for x
    x = 155,060,994,991.08/332,134.40
  6. Step 6: Final answer
    x = 466,862.19

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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.