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Finding the Fourth Proportional to 513,471.56, 708,536.21 and 283,992.38

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Solution

The fourth proportional to 513,471.56, 708,536.21 and 283,992.38 is: 391,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,471.56 : 708,536.21 = 283,992.38 : x
  2. Step 2: Convert to fraction form
    513,471.56/708,536.21 = 283,992.38/x
  3. Step 3: Cross multiply
    513,471.56x = 708,536.21 × 283,992.38
  4. Step 4: Simplify right side
    513,471.56x = 201,218,884,594.08
  5. Step 5: Solve for x
    x = 201,218,884,594.08/513,471.56
  6. Step 6: Final answer
    x = 391,879.32

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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.