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Finding the Fourth Proportional to 443,445.90, 664,403.40 and 206,302.20

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Solution

The fourth proportional to 443,445.90, 664,403.40 and 206,302.20 is: 309,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,445.90 : 664,403.40 = 206,302.20 : x
  2. Step 2: Convert to fraction form
    443,445.90/664,403.40 = 206,302.20/x
  3. Step 3: Cross multiply
    443,445.90x = 664,403.40 × 206,302.20
  4. Step 4: Simplify right side
    443,445.90x = 137,067,883,107.48
  5. Step 5: Solve for x
    x = 137,067,883,107.48/443,445.90
  6. Step 6: Final answer
    x = 309,097.19

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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.