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Finding the Fourth Proportional to 531,208.50, 733,067.75 and 292,744.50

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Solution

The fourth proportional to 531,208.50, 733,067.75 and 292,744.50 is: 403,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,208.50 : 733,067.75 = 292,744.50 : x
  2. Step 2: Convert to fraction form
    531,208.50/733,067.75 = 292,744.50/x
  3. Step 3: Cross multiply
    531,208.50x = 733,067.75 × 292,744.50
  4. Step 4: Simplify right side
    531,208.50x = 214,601,550,476.15
  5. Step 5: Solve for x
    x = 214,601,550,476.15/531,208.50
  6. Step 6: Final answer
    x = 403,987.42

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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.