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Finding the Fourth Proportional to 275,722.10, 413,583.15 and 264,058.10

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Solution

The fourth proportional to 275,722.10, 413,583.15 and 264,058.10 is: 396,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.10 : 413,583.15 = 264,058.10 : x
  2. Step 2: Convert to fraction form
    275,722.10/413,583.15 = 264,058.10/x
  3. Step 3: Cross multiply
    275,722.10x = 413,583.15 × 264,058.10
  4. Step 4: Simplify right side
    275,722.10x = 109,209,980,781.02
  5. Step 5: Solve for x
    x = 109,209,980,781.02/275,722.10
  6. Step 6: Final answer
    x = 396,087.15

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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.