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Finding the Fourth Proportional to 512,514.92, 707,314.32 and 286,204.16

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Solution

The fourth proportional to 512,514.92, 707,314.32 and 286,204.16 is: 394,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,514.92 : 707,314.32 = 286,204.16 : x
  2. Step 2: Convert to fraction form
    512,514.92/707,314.32 = 286,204.16/x
  3. Step 3: Cross multiply
    512,514.92x = 707,314.32 × 286,204.16
  4. Step 4: Simplify right side
    512,514.92x = 202,436,300,811.57
  5. Step 5: Solve for x
    x = 202,436,300,811.57/512,514.92
  6. Step 6: Final answer
    x = 394,986.16

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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.