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Finding the Fourth Proportional to 292,050.31, 403,211.88 and 223,936.44

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Solution

The fourth proportional to 292,050.31, 403,211.88 and 223,936.44 is: 309,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,050.31 : 403,211.88 = 223,936.44 : x
  2. Step 2: Convert to fraction form
    292,050.31/403,211.88 = 223,936.44/x
  3. Step 3: Cross multiply
    292,050.31x = 403,211.88 × 223,936.44
  4. Step 4: Simplify right side
    292,050.31x = 90,293,832,972.91
  5. Step 5: Solve for x
    x = 90,293,832,972.91/292,050.31
  6. Step 6: Final answer
    x = 309,172.19

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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.