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Finding the Fourth Proportional to 339,004, 467,825.16 and 186,043.08

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Solution

The fourth proportional to 339,004, 467,825.16 and 186,043.08 is: 256,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,004 : 467,825.16 = 186,043.08 : x
  2. Step 2: Convert to fraction form
    339,004/467,825.16 = 186,043.08/x
  3. Step 3: Cross multiply
    339,004x = 467,825.16 × 186,043.08
  4. Step 4: Simplify right side
    339,004x = 87,035,633,667.89
  5. Step 5: Solve for x
    x = 87,035,633,667.89/339,004
  6. Step 6: Final answer
    x = 256,739.25

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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.