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Finding the Fourth Proportional to 443,846.40, 665,004.15 and 206,702.70

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Solution

The fourth proportional to 443,846.40, 665,004.15 and 206,702.70 is: 309,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,846.40 : 665,004.15 = 206,702.70 : x
  2. Step 2: Convert to fraction form
    443,846.40/665,004.15 = 206,702.70/x
  3. Step 3: Cross multiply
    443,846.40x = 665,004.15 × 206,702.70
  4. Step 4: Simplify right side
    443,846.40x = 137,458,153,316.21
  5. Step 5: Solve for x
    x = 137,458,153,316.21/443,846.40
  6. Step 6: Final answer
    x = 309,697.57

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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.