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Finding the Fourth Proportional to 274,722.54, 411,345.54 and 174,339.24

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Solution

The fourth proportional to 274,722.54, 411,345.54 and 174,339.24 is: 261,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,722.54 : 411,345.54 = 174,339.24 : x
  2. Step 2: Convert to fraction form
    274,722.54/411,345.54 = 174,339.24/x
  3. Step 3: Cross multiply
    274,722.54x = 411,345.54 × 174,339.24
  4. Step 4: Simplify right side
    274,722.54x = 71,713,668,820.99
  5. Step 5: Solve for x
    x = 71,713,668,820.99/274,722.54
  6. Step 6: Final answer
    x = 261,040.35

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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.