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Finding the Fourth Proportional to 512,117.80, 706,651.94 and 285,719.40

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Solution

The fourth proportional to 512,117.80, 706,651.94 and 285,719.40 is: 394,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.80 : 706,651.94 = 285,719.40 : x
  2. Step 2: Convert to fraction form
    512,117.80/706,651.94 = 285,719.40/x
  3. Step 3: Cross multiply
    512,117.80x = 706,651.94 × 285,719.40
  4. Step 4: Simplify right side
    512,117.80x = 201,904,168,305.64
  5. Step 5: Solve for x
    x = 201,904,168,305.64/512,117.80
  6. Step 6: Final answer
    x = 394,253.37

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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.