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Finding the Fourth Proportional to 301,959.56, 416,709.50 and 165,999.24

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Solution

The fourth proportional to 301,959.56, 416,709.50 and 165,999.24 is: 229,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,959.56 : 416,709.50 = 165,999.24 : x
  2. Step 2: Convert to fraction form
    301,959.56/416,709.50 = 165,999.24/x
  3. Step 3: Cross multiply
    301,959.56x = 416,709.50 × 165,999.24
  4. Step 4: Simplify right side
    301,959.56x = 69,173,459,470.78
  5. Step 5: Solve for x
    x = 69,173,459,470.78/301,959.56
  6. Step 6: Final answer
    x = 229,081.86

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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.