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Finding the Fourth Proportional to 519,992.82, 716,896.16 and 412,917.30

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Solution

The fourth proportional to 519,992.82, 716,896.16 and 412,917.30 is: 569,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,992.82 : 716,896.16 = 412,917.30 : x
  2. Step 2: Convert to fraction form
    519,992.82/716,896.16 = 412,917.30/x
  3. Step 3: Cross multiply
    519,992.82x = 716,896.16 × 412,917.30
  4. Step 4: Simplify right side
    519,992.82x = 296,018,826,767.57
  5. Step 5: Solve for x
    x = 296,018,826,767.57/519,992.82
  6. Step 6: Final answer
    x = 569,274.83

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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.