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Finding the Fourth Proportional to 467,941.83, 645,759.86 and 264,035.98

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Solution

The fourth proportional to 467,941.83, 645,759.86 and 264,035.98 is: 364,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,941.83 : 645,759.86 = 264,035.98 : x
  2. Step 2: Convert to fraction form
    467,941.83/645,759.86 = 264,035.98/x
  3. Step 3: Cross multiply
    467,941.83x = 645,759.86 × 264,035.98
  4. Step 4: Simplify right side
    467,941.83x = 170,503,837,479.76
  5. Step 5: Solve for x
    x = 170,503,837,479.76/467,941.83
  6. Step 6: Final answer
    x = 364,369.73

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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.