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Finding the Fourth Proportional to 300,511.29, 414,716.75 and 171,470.77

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Solution

The fourth proportional to 300,511.29, 414,716.75 and 171,470.77 is: 236,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,511.29 : 414,716.75 = 171,470.77 : x
  2. Step 2: Convert to fraction form
    300,511.29/414,716.75 = 171,470.77/x
  3. Step 3: Cross multiply
    300,511.29x = 414,716.75 × 171,470.77
  4. Step 4: Simplify right side
    300,511.29x = 71,111,799,980.86
  5. Step 5: Solve for x
    x = 71,111,799,980.86/300,511.29
  6. Step 6: Final answer
    x = 236,636.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.