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Finding the Fourth Proportional to 431,883.99, 647,864.85 and 116,333.91

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Solution

The fourth proportional to 431,883.99, 647,864.85 and 116,333.91 is: 174,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,883.99 : 647,864.85 = 116,333.91 : x
  2. Step 2: Convert to fraction form
    431,883.99/647,864.85 = 116,333.91/x
  3. Step 3: Cross multiply
    431,883.99x = 647,864.85 × 116,333.91
  4. Step 4: Simplify right side
    431,883.99x = 75,368,651,152.06
  5. Step 5: Solve for x
    x = 75,368,651,152.06/431,883.99
  6. Step 6: Final answer
    x = 174,511.33

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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.