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Finding the Fourth Proportional to 332,180.80, 498,271.20 and 214,082.80

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Solution

The fourth proportional to 332,180.80, 498,271.20 and 214,082.80 is: 321,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,180.80 : 498,271.20 = 214,082.80 : x
  2. Step 2: Convert to fraction form
    332,180.80/498,271.20 = 214,082.80/x
  3. Step 3: Cross multiply
    332,180.80x = 498,271.20 × 214,082.80
  4. Step 4: Simplify right side
    332,180.80x = 106,671,293,655.36
  5. Step 5: Solve for x
    x = 106,671,293,655.36/332,180.80
  6. Step 6: Final answer
    x = 321,124.20

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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.