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Finding the Fourth Proportional to 512,112.21, 706,609.32 and 294,278.80

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Solution

The fourth proportional to 512,112.21, 706,609.32 and 294,278.80 is: 406,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112.21 : 706,609.32 = 294,278.80 : x
  2. Step 2: Convert to fraction form
    512,112.21/706,609.32 = 294,278.80/x
  3. Step 3: Cross multiply
    512,112.21x = 706,609.32 × 294,278.80
  4. Step 4: Simplify right side
    512,112.21x = 207,940,142,758.42
  5. Step 5: Solve for x
    x = 207,940,142,758.42/512,112.21
  6. Step 6: Final answer
    x = 406,044.10

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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.