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Finding the Fourth Proportional to 342,504.86, 472,846.72 and 206,573.08

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Solution

The fourth proportional to 342,504.86, 472,846.72 and 206,573.08 is: 285,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,504.86 : 472,846.72 = 206,573.08 : x
  2. Step 2: Convert to fraction form
    342,504.86/472,846.72 = 206,573.08/x
  3. Step 3: Cross multiply
    342,504.86x = 472,846.72 × 206,573.08
  4. Step 4: Simplify right side
    342,504.86x = 97,677,403,318.30
  5. Step 5: Solve for x
    x = 97,677,403,318.30/342,504.86
  6. Step 6: Final answer
    x = 285,185.45

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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.