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Finding the Fourth Proportional to 443,457.90, 664,421.40 and 206,314.20

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Solution

The fourth proportional to 443,457.90, 664,421.40 and 206,314.20 is: 309,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,457.90 : 664,421.40 = 206,314.20 : x
  2. Step 2: Convert to fraction form
    443,457.90/664,421.40 = 206,314.20/x
  3. Step 3: Cross multiply
    443,457.90x = 664,421.40 × 206,314.20
  4. Step 4: Simplify right side
    443,457.90x = 137,079,569,603.88
  5. Step 5: Solve for x
    x = 137,079,569,603.88/443,457.90
  6. Step 6: Final answer
    x = 309,115.18

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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.