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Finding the Fourth Proportional to 274,438.80, 411,645.84 and 114,448.86

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Solution

The fourth proportional to 274,438.80, 411,645.84 and 114,448.86 is: 171,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,438.80 : 411,645.84 = 114,448.86 : x
  2. Step 2: Convert to fraction form
    274,438.80/411,645.84 = 114,448.86/x
  3. Step 3: Cross multiply
    274,438.80x = 411,645.84 × 114,448.86
  4. Step 4: Simplify right side
    274,438.80x = 47,112,397,111.74
  5. Step 5: Solve for x
    x = 47,112,397,111.74/274,438.80
  6. Step 6: Final answer
    x = 171,668.14

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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.