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Finding the Fourth Proportional to 512,416.87, 707,081.57 and 297,514.96

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Solution

The fourth proportional to 512,416.87, 707,081.57 and 297,514.96 is: 410,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,416.87 : 707,081.57 = 297,514.96 : x
  2. Step 2: Convert to fraction form
    512,416.87/707,081.57 = 297,514.96/x
  3. Step 3: Cross multiply
    512,416.87x = 707,081.57 × 297,514.96
  4. Step 4: Simplify right side
    512,416.87x = 210,367,342,223.67
  5. Step 5: Solve for x
    x = 210,367,342,223.67/512,416.87
  6. Step 6: Final answer
    x = 410,539.46

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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.