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Finding the Fourth Proportional to 384,064.80, 576,097.20 and 218,176.80

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Solution

The fourth proportional to 384,064.80, 576,097.20 and 218,176.80 is: 327,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064.80 : 576,097.20 = 218,176.80 : x
  2. Step 2: Convert to fraction form
    384,064.80/576,097.20 = 218,176.80/x
  3. Step 3: Cross multiply
    384,064.80x = 576,097.20 × 218,176.80
  4. Step 4: Simplify right side
    384,064.80x = 125,691,043,584.96
  5. Step 5: Solve for x
    x = 125,691,043,584.96/384,064.80
  6. Step 6: Final answer
    x = 327,265.20

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1.5x scale

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.