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Finding the Fourth Proportional to 348,550.83, 522,709.47 and 111,837.24

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Solution

The fourth proportional to 348,550.83, 522,709.47 and 111,837.24 is: 167,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,550.83 : 522,709.47 = 111,837.24 : x
  2. Step 2: Convert to fraction form
    348,550.83/522,709.47 = 111,837.24/x
  3. Step 3: Cross multiply
    348,550.83x = 522,709.47 × 111,837.24
  4. Step 4: Simplify right side
    348,550.83x = 58,458,384,446.66
  5. Step 5: Solve for x
    x = 58,458,384,446.66/348,550.83
  6. Step 6: Final answer
    x = 167,718.39

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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.