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Finding the Fourth Proportional to 467,805.66, 645,570.90 and 263,855.94

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Solution

The fourth proportional to 467,805.66, 645,570.90 and 263,855.94 is: 364,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,805.66 : 645,570.90 = 263,855.94 : x
  2. Step 2: Convert to fraction form
    467,805.66/645,570.90 = 263,855.94/x
  3. Step 3: Cross multiply
    467,805.66x = 645,570.90 × 263,855.94
  4. Step 4: Simplify right side
    467,805.66x = 170,337,716,656.15
  5. Step 5: Solve for x
    x = 170,337,716,656.15/467,805.66
  6. Step 6: Final answer
    x = 364,120.68

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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.