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Finding the Fourth Proportional to 341,739.40, 512,609.10 and 199,438.60

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Solution

The fourth proportional to 341,739.40, 512,609.10 and 199,438.60 is: 299,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,739.40 : 512,609.10 = 199,438.60 : x
  2. Step 2: Convert to fraction form
    341,739.40/512,609.10 = 199,438.60/x
  3. Step 3: Cross multiply
    341,739.40x = 512,609.10 × 199,438.60
  4. Step 4: Simplify right side
    341,739.40x = 102,234,041,251.26
  5. Step 5: Solve for x
    x = 102,234,041,251.26/341,739.40
  6. Step 6: Final answer
    x = 299,157.90

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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.