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Finding the Fourth Proportional to 516,354.84, 774,511.20 and 179,471.88

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Solution

The fourth proportional to 516,354.84, 774,511.20 and 179,471.88 is: 269,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,354.84 : 774,511.20 = 179,471.88 : x
  2. Step 2: Convert to fraction form
    516,354.84/774,511.20 = 179,471.88/x
  3. Step 3: Cross multiply
    516,354.84x = 774,511.20 × 179,471.88
  4. Step 4: Simplify right side
    516,354.84x = 139,002,981,145.06
  5. Step 5: Solve for x
    x = 139,002,981,145.06/516,354.84
  6. Step 6: Final answer
    x = 269,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.