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Finding the Fourth Proportional to 510,865.92, 704,887.11 and 295,992.90

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Solution

The fourth proportional to 510,865.92, 704,887.11 and 295,992.90 is: 408,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,865.92 : 704,887.11 = 295,992.90 : x
  2. Step 2: Convert to fraction form
    510,865.92/704,887.11 = 295,992.90/x
  3. Step 3: Cross multiply
    510,865.92x = 704,887.11 × 295,992.90
  4. Step 4: Simplify right side
    510,865.92x = 208,641,579,861.52
  5. Step 5: Solve for x
    x = 208,641,579,861.52/510,865.92
  6. Step 6: Final answer
    x = 408,407.71

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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.