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Finding the Fourth Proportional to 274,328.87, 411,567.26 and 114,351.64

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Solution

The fourth proportional to 274,328.87, 411,567.26 and 114,351.64 is: 171,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,328.87 : 411,567.26 = 114,351.64 : x
  2. Step 2: Convert to fraction form
    274,328.87/411,567.26 = 114,351.64/x
  3. Step 3: Cross multiply
    274,328.87x = 411,567.26 × 114,351.64
  4. Step 4: Simplify right side
    274,328.87x = 47,063,391,151.31
  5. Step 5: Solve for x
    x = 47,063,391,151.31/274,328.87
  6. Step 6: Final answer
    x = 171,558.29

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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.