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Finding the Fourth Proportional to 292,047.31, 403,207.74 and 223,933.43

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Solution

The fourth proportional to 292,047.31, 403,207.74 and 223,933.43 is: 309,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,047.31 : 403,207.74 = 223,933.43 : x
  2. Step 2: Convert to fraction form
    292,047.31/403,207.74 = 223,933.43/x
  3. Step 3: Cross multiply
    292,047.31x = 403,207.74 × 223,933.43
  4. Step 4: Simplify right side
    292,047.31x = 90,291,692,220.75
  5. Step 5: Solve for x
    x = 90,291,692,220.75/292,047.31
  6. Step 6: Final answer
    x = 309,168.03

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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.