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Finding the Fourth Proportional to 275,712.10, 413,568.15 and 264,048.10

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Solution

The fourth proportional to 275,712.10, 413,568.15 and 264,048.10 is: 396,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,712.10 : 413,568.15 = 264,048.10 : x
  2. Step 2: Convert to fraction form
    275,712.10/413,568.15 = 264,048.10/x
  3. Step 3: Cross multiply
    275,712.10x = 413,568.15 × 264,048.10
  4. Step 4: Simplify right side
    275,712.10x = 109,201,884,228.02
  5. Step 5: Solve for x
    x = 109,201,884,228.02/275,712.10
  6. Step 6: Final answer
    x = 396,072.15

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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.