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Finding the Fourth Proportional to 342,364.90, 512,563.20 and 209,504.65

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Solution

The fourth proportional to 342,364.90, 512,563.20 and 209,504.65 is: 313,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,364.90 : 512,563.20 = 209,504.65 : x
  2. Step 2: Convert to fraction form
    342,364.90/512,563.20 = 209,504.65/x
  3. Step 3: Cross multiply
    342,364.90x = 512,563.20 × 209,504.65
  4. Step 4: Simplify right side
    342,364.90x = 107,384,373,818.88
  5. Step 5: Solve for x
    x = 107,384,373,818.88/342,364.90
  6. Step 6: Final answer
    x = 313,654.74

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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.