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Finding the Fourth Proportional to 664,507.60, 996,907.20 and 327,709.60

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Solution

The fourth proportional to 664,507.60, 996,907.20 and 327,709.60 is: 491,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,507.60 : 996,907.20 = 327,709.60 : x
  2. Step 2: Convert to fraction form
    664,507.60/996,907.20 = 327,709.60/x
  3. Step 3: Cross multiply
    664,507.60x = 996,907.20 × 327,709.60
  4. Step 4: Simplify right side
    664,507.60x = 326,696,059,749.12
  5. Step 5: Solve for x
    x = 326,696,059,749.12/664,507.60
  6. Step 6: Final answer
    x = 491,636.30

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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.