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Finding the Fourth Proportional to 275,701.10, 413,551.65 and 264,037.10

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Solution

The fourth proportional to 275,701.10, 413,551.65 and 264,037.10 is: 396,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,701.10 : 413,551.65 = 264,037.10 : x
  2. Step 2: Convert to fraction form
    275,701.10/413,551.65 = 264,037.10/x
  3. Step 3: Cross multiply
    275,701.10x = 413,551.65 × 264,037.10
  4. Step 4: Simplify right side
    275,701.10x = 109,192,978,366.22
  5. Step 5: Solve for x
    x = 109,192,978,366.22/275,701.10
  6. Step 6: Final answer
    x = 396,055.65

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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.