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Finding the Fourth Proportional to 665,344.85, 996,869.10 and 309,629.30

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Solution

The fourth proportional to 665,344.85, 996,869.10 and 309,629.30 is: 463,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,344.85 : 996,869.10 = 309,629.30 : x
  2. Step 2: Convert to fraction form
    665,344.85/996,869.10 = 309,629.30/x
  3. Step 3: Cross multiply
    665,344.85x = 996,869.10 × 309,629.30
  4. Step 4: Simplify right side
    665,344.85x = 308,659,881,624.63
  5. Step 5: Solve for x
    x = 308,659,881,624.63/665,344.85
  6. Step 6: Final answer
    x = 463,909.63

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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.