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Finding the Fourth Proportional to 443,657.60, 665,486.40 and 431,993.60

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Solution

The fourth proportional to 443,657.60, 665,486.40 and 431,993.60 is: 647,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,657.60 : 665,486.40 = 431,993.60 : x
  2. Step 2: Convert to fraction form
    443,657.60/665,486.40 = 431,993.60/x
  3. Step 3: Cross multiply
    443,657.60x = 665,486.40 × 431,993.60
  4. Step 4: Simplify right side
    443,657.60x = 287,485,865,687.04
  5. Step 5: Solve for x
    x = 287,485,865,687.04/443,657.60
  6. Step 6: Final answer
    x = 647,990.40

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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.