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Finding the Fourth Proportional to 364,065.60, 546,098.40 and 204,633.30

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Solution

The fourth proportional to 364,065.60, 546,098.40 and 204,633.30 is: 306,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,065.60 : 546,098.40 = 204,633.30 : x
  2. Step 2: Convert to fraction form
    364,065.60/546,098.40 = 204,633.30/x
  3. Step 3: Cross multiply
    364,065.60x = 546,098.40 × 204,633.30
  4. Step 4: Simplify right side
    364,065.60x = 111,749,917,716.72
  5. Step 5: Solve for x
    x = 111,749,917,716.72/364,065.60
  6. Step 6: Final answer
    x = 306,949.95

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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.