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Finding the Fourth Proportional to 301,581.60, 451,716.30 and 183,046.20

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Solution

The fourth proportional to 301,581.60, 451,716.30 and 183,046.20 is: 274,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,581.60 : 451,716.30 = 183,046.20 : x
  2. Step 2: Convert to fraction form
    301,581.60/451,716.30 = 183,046.20/x
  3. Step 3: Cross multiply
    301,581.60x = 451,716.30 × 183,046.20
  4. Step 4: Simplify right side
    301,581.60x = 82,684,952,193.06
  5. Step 5: Solve for x
    x = 82,684,952,193.06/301,581.60
  6. Step 6: Final answer
    x = 274,171.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.