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Finding the Fourth Proportional to 329,296.80, 492,778.80 and 224,320.80

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Solution

The fourth proportional to 329,296.80, 492,778.80 and 224,320.80 is: 335,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,296.80 : 492,778.80 = 224,320.80 : x
  2. Step 2: Convert to fraction form
    329,296.80/492,778.80 = 224,320.80/x
  3. Step 3: Cross multiply
    329,296.80x = 492,778.80 × 224,320.80
  4. Step 4: Simplify right side
    329,296.80x = 110,540,534,639.04
  5. Step 5: Solve for x
    x = 110,540,534,639.04/329,296.80
  6. Step 6: Final answer
    x = 335,686.63

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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.