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Finding the Fourth Proportional to 301,934.70, 416,665.22 and 165,965.74

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Solution

The fourth proportional to 301,934.70, 416,665.22 and 165,965.74 is: 229,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,934.70 : 416,665.22 = 165,965.74 : x
  2. Step 2: Convert to fraction form
    301,934.70/416,665.22 = 165,965.74/x
  3. Step 3: Cross multiply
    301,934.70x = 416,665.22 × 165,965.74
  4. Step 4: Simplify right side
    301,934.70x = 69,152,149,698.07
  5. Step 5: Solve for x
    x = 69,152,149,698.07/301,934.70
  6. Step 6: Final answer
    x = 229,030.15

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