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Finding the Fourth Proportional to 467,758.53, 645,468.12 and 263,859.66

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Solution

The fourth proportional to 467,758.53, 645,468.12 and 263,859.66 is: 364,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,758.53 : 645,468.12 = 263,859.66 : x
  2. Step 2: Convert to fraction form
    467,758.53/645,468.12 = 263,859.66/x
  3. Step 3: Cross multiply
    467,758.53x = 645,468.12 × 263,859.66
  4. Step 4: Simplify right side
    467,758.53x = 170,312,998,684.04
  5. Step 5: Solve for x
    x = 170,312,998,684.04/467,758.53
  6. Step 6: Final answer
    x = 364,104.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.