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Finding the Fourth Proportional to 339,049, 467,909.54 and 188,146

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Solution

The fourth proportional to 339,049, 467,909.54 and 188,146 is: 259,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,049 : 467,909.54 = 188,146 : x
  2. Step 2: Convert to fraction form
    339,049/467,909.54 = 188,146/x
  3. Step 3: Cross multiply
    339,049x = 467,909.54 × 188,146
  4. Step 4: Simplify right side
    339,049x = 88,035,308,312.84
  5. Step 5: Solve for x
    x = 88,035,308,312.84/339,049
  6. Step 6: Final answer
    x = 259,653.64

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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.