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Finding the Fourth Proportional to 301,682.12, 416,227.68 and 174,311.24

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Solution

The fourth proportional to 301,682.12, 416,227.68 and 174,311.24 is: 240,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,682.12 : 416,227.68 = 174,311.24 : x
  2. Step 2: Convert to fraction form
    301,682.12/416,227.68 = 174,311.24/x
  3. Step 3: Cross multiply
    301,682.12x = 416,227.68 × 174,311.24
  4. Step 4: Simplify right side
    301,682.12x = 72,553,163,023.12
  5. Step 5: Solve for x
    x = 72,553,163,023.12/301,682.12
  6. Step 6: Final answer
    x = 240,495.40

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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.