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Finding the Fourth Proportional to 512,121.51, 706,622.22 and 294,288.12

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Solution

The fourth proportional to 512,121.51, 706,622.22 and 294,288.12 is: 406,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.51 : 706,622.22 = 294,288.12 : x
  2. Step 2: Convert to fraction form
    512,121.51/706,622.22 = 294,288.12/x
  3. Step 3: Cross multiply
    512,121.51x = 706,622.22 × 294,288.12
  4. Step 4: Simplify right side
    512,121.51x = 207,950,524,674.03
  5. Step 5: Solve for x
    x = 207,950,524,674.03/512,121.51
  6. Step 6: Final answer
    x = 406,057.00

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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.