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Finding the Fourth Proportional to 339,464.06, 468,475.24 and 188,561.06

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Solution

The fourth proportional to 339,464.06, 468,475.24 and 188,561.06 is: 260,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,464.06 : 468,475.24 = 188,561.06 : x
  2. Step 2: Convert to fraction form
    339,464.06/468,475.24 = 188,561.06/x
  3. Step 3: Cross multiply
    339,464.06x = 468,475.24 × 188,561.06
  4. Step 4: Simplify right side
    339,464.06x = 88,336,187,838.15
  5. Step 5: Solve for x
    x = 88,336,187,838.15/339,464.06
  6. Step 6: Final answer
    x = 260,222.50

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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.