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Finding the Fourth Proportional to 512,186.96, 706,523.10 and 297,299.36

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Solution

The fourth proportional to 512,186.96, 706,523.10 and 297,299.36 is: 410,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,186.96 : 706,523.10 = 297,299.36 : x
  2. Step 2: Convert to fraction form
    512,186.96/706,523.10 = 297,299.36/x
  3. Step 3: Cross multiply
    512,186.96x = 706,523.10 × 297,299.36
  4. Step 4: Simplify right side
    512,186.96x = 210,048,865,455.22
  5. Step 5: Solve for x
    x = 210,048,865,455.22/512,186.96
  6. Step 6: Final answer
    x = 410,101.94

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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.