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Finding the Fourth Proportional to 293,334.86, 404,805.24 and 180,157.61

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Solution

The fourth proportional to 293,334.86, 404,805.24 and 180,157.61 is: 248,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,334.86 : 404,805.24 = 180,157.61 : x
  2. Step 2: Convert to fraction form
    293,334.86/404,805.24 = 180,157.61/x
  3. Step 3: Cross multiply
    293,334.86x = 404,805.24 × 180,157.61
  4. Step 4: Simplify right side
    293,334.86x = 72,928,742,529.85
  5. Step 5: Solve for x
    x = 72,928,742,529.85/293,334.86
  6. Step 6: Final answer
    x = 248,619.42

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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.