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Finding the Fourth Proportional to 351,429.14, 484,953 and 206,215.37

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Solution

The fourth proportional to 351,429.14, 484,953 and 206,215.37 is: 284,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,429.14 : 484,953 = 206,215.37 : x
  2. Step 2: Convert to fraction form
    351,429.14/484,953 = 206,215.37/x
  3. Step 3: Cross multiply
    351,429.14x = 484,953 × 206,215.37
  4. Step 4: Simplify right side
    351,429.14x = 100,004,762,327.61
  5. Step 5: Solve for x
    x = 100,004,762,327.61/351,429.14
  6. Step 6: Final answer
    x = 284,565.94

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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.