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Finding the Fourth Proportional to 332,135.40, 498,399.94 and 311,119.54

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Solution

The fourth proportional to 332,135.40, 498,399.94 and 311,119.54 is: 466,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,135.40 : 498,399.94 = 311,119.54 : x
  2. Step 2: Convert to fraction form
    332,135.40/498,399.94 = 311,119.54/x
  3. Step 3: Cross multiply
    332,135.40x = 498,399.94 × 311,119.54
  4. Step 4: Simplify right side
    332,135.40x = 155,061,960,068.83
  5. Step 5: Solve for x
    x = 155,061,960,068.83/332,135.40
  6. Step 6: Final answer
    x = 466,863.69

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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.