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Finding the Fourth Proportional to 443,005.80, 664,703.10 and 206,226.60

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Solution

The fourth proportional to 443,005.80, 664,703.10 and 206,226.60 is: 309,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,005.80 : 664,703.10 = 206,226.60 : x
  2. Step 2: Convert to fraction form
    443,005.80/664,703.10 = 206,226.60/x
  3. Step 3: Cross multiply
    443,005.80x = 664,703.10 × 206,226.60
  4. Step 4: Simplify right side
    443,005.80x = 137,079,460,322.46
  5. Step 5: Solve for x
    x = 137,079,460,322.46/443,005.80
  6. Step 6: Final answer
    x = 309,430.40

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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.