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Finding the Fourth Proportional to 463,405.70, 696,145.35 and 444,512.90

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Solution

The fourth proportional to 463,405.70, 696,145.35 and 444,512.90 is: 667,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,405.70 : 696,145.35 = 444,512.90 : x
  2. Step 2: Convert to fraction form
    463,405.70/696,145.35 = 444,512.90/x
  3. Step 3: Cross multiply
    463,405.70x = 696,145.35 × 444,512.90
  4. Step 4: Simplify right side
    463,405.70x = 309,445,588,350.02
  5. Step 5: Solve for x
    x = 309,445,588,350.02/463,405.70
  6. Step 6: Final answer
    x = 667,763.88

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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.