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Finding the Fourth Proportional to 512,455.96, 707,189.23 and 297,609.86

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Solution

The fourth proportional to 512,455.96, 707,189.23 and 297,609.86 is: 410,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,455.96 : 707,189.23 = 297,609.86 : x
  2. Step 2: Convert to fraction form
    512,455.96/707,189.23 = 297,609.86/x
  3. Step 3: Cross multiply
    512,455.96x = 707,189.23 × 297,609.86
  4. Step 4: Simplify right side
    512,455.96x = 210,466,488,757.76
  5. Step 5: Solve for x
    x = 210,466,488,757.76/512,455.96
  6. Step 6: Final answer
    x = 410,701.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.