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Finding the Fourth Proportional to 301,687.90, 416,332.02 and 165,724.60

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Solution

The fourth proportional to 301,687.90, 416,332.02 and 165,724.60 is: 228,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,687.90 : 416,332.02 = 165,724.60 : x
  2. Step 2: Convert to fraction form
    301,687.90/416,332.02 = 165,724.60/x
  3. Step 3: Cross multiply
    301,687.90x = 416,332.02 × 165,724.60
  4. Step 4: Simplify right side
    301,687.90x = 68,996,457,481.69
  5. Step 5: Solve for x
    x = 68,996,457,481.69/301,687.90
  6. Step 6: Final answer
    x = 228,701.44

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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.