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Finding the Fourth Proportional to 516,511.63, 774,323.72 and 179,508.50

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Solution

The fourth proportional to 516,511.63, 774,323.72 and 179,508.50 is: 269,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,511.63 : 774,323.72 = 179,508.50 : x
  2. Step 2: Convert to fraction form
    516,511.63/774,323.72 = 179,508.50/x
  3. Step 3: Cross multiply
    516,511.63x = 774,323.72 × 179,508.50
  4. Step 4: Simplify right side
    516,511.63x = 138,997,689,491.62
  5. Step 5: Solve for x
    x = 138,997,689,491.62/516,511.63
  6. Step 6: Final answer
    x = 269,108.54

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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.