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Finding the Fourth Proportional to 275,711.10, 413,566.65 and 264,047.10

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Solution

The fourth proportional to 275,711.10, 413,566.65 and 264,047.10 is: 396,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.10 : 413,566.65 = 264,047.10 : x
  2. Step 2: Convert to fraction form
    275,711.10/413,566.65 = 264,047.10/x
  3. Step 3: Cross multiply
    275,711.10x = 413,566.65 × 264,047.10
  4. Step 4: Simplify right side
    275,711.10x = 109,201,074,589.22
  5. Step 5: Solve for x
    x = 109,201,074,589.22/275,711.10
  6. Step 6: Final answer
    x = 396,070.65

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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.