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Finding the Fourth Proportional to 264,636.56, 396,643.80 and 204,916.88

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Solution

The fourth proportional to 264,636.56, 396,643.80 and 204,916.88 is: 307,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,636.56 : 396,643.80 = 204,916.88 : x
  2. Step 2: Convert to fraction form
    264,636.56/396,643.80 = 204,916.88/x
  3. Step 3: Cross multiply
    264,636.56x = 396,643.80 × 204,916.88
  4. Step 4: Simplify right side
    264,636.56x = 81,279,009,967.34
  5. Step 5: Solve for x
    x = 81,279,009,967.34/264,636.56
  6. Step 6: Final answer
    x = 307,134.47

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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.