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Finding the Fourth Proportional to 469,516.76, 647,933.17 and 265,563.29

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Solution

The fourth proportional to 469,516.76, 647,933.17 and 265,563.29 is: 366,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,516.76 : 647,933.17 = 265,563.29 : x
  2. Step 2: Convert to fraction form
    469,516.76/647,933.17 = 265,563.29/x
  3. Step 3: Cross multiply
    469,516.76x = 647,933.17 × 265,563.29
  4. Step 4: Simplify right side
    469,516.76x = 172,067,262,134.56
  5. Step 5: Solve for x
    x = 172,067,262,134.56/469,516.76
  6. Step 6: Final answer
    x = 366,477.36

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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.