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Finding the Fourth Proportional to 292,051.31, 403,213.26 and 223,937.44

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Solution

The fourth proportional to 292,051.31, 403,213.26 and 223,937.44 is: 309,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,051.31 : 403,213.26 = 223,937.44 : x
  2. Step 2: Convert to fraction form
    292,051.31/403,213.26 = 223,937.44/x
  3. Step 3: Cross multiply
    292,051.31x = 403,213.26 × 223,937.44
  4. Step 4: Simplify right side
    292,051.31x = 90,294,545,218.45
  5. Step 5: Solve for x
    x = 90,294,545,218.45/292,051.31
  6. Step 6: Final answer
    x = 309,173.57

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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.