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Finding the Fourth Proportional to 362,335.53, 543,217.46 and 228,934.65

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Solution

The fourth proportional to 362,335.53, 543,217.46 and 228,934.65 is: 343,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,335.53 : 543,217.46 = 228,934.65 : x
  2. Step 2: Convert to fraction form
    362,335.53/543,217.46 = 228,934.65/x
  3. Step 3: Cross multiply
    362,335.53x = 543,217.46 × 228,934.65
  4. Step 4: Simplify right side
    362,335.53x = 124,361,297,934.32
  5. Step 5: Solve for x
    x = 124,361,297,934.32/362,335.53
  6. Step 6: Final answer
    x = 343,221.37

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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.