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Finding the Fourth Proportional to 469,879.38, 704,814.75 and 114,894.90

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Solution

The fourth proportional to 469,879.38, 704,814.75 and 114,894.90 is: 172,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,879.38 : 704,814.75 = 114,894.90 : x
  2. Step 2: Convert to fraction form
    469,879.38/704,814.75 = 114,894.90/x
  3. Step 3: Cross multiply
    469,879.38x = 704,814.75 × 114,894.90
  4. Step 4: Simplify right side
    469,879.38x = 80,979,620,219.78
  5. Step 5: Solve for x
    x = 80,979,620,219.78/469,879.38
  6. Step 6: Final answer
    x = 172,341.29

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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.