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Finding the Fourth Proportional to 467,998.63, 645,782.56 and 264,037.64

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Solution

The fourth proportional to 467,998.63, 645,782.56 and 264,037.64 is: 364,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,998.63 : 645,782.56 = 264,037.64 : x
  2. Step 2: Convert to fraction form
    467,998.63/645,782.56 = 264,037.64/x
  3. Step 3: Cross multiply
    467,998.63x = 645,782.56 × 264,037.64
  4. Step 4: Simplify right side
    467,998.63x = 170,510,899,206.55
  5. Step 5: Solve for x
    x = 170,510,899,206.55/467,998.63
  6. Step 6: Final answer
    x = 364,340.60

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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.