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Finding the Fourth Proportional to 292,985.36, 404,327.76 and 165,680

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Solution

The fourth proportional to 292,985.36, 404,327.76 and 165,680 is: 228,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,985.36 : 404,327.76 = 165,680 : x
  2. Step 2: Convert to fraction form
    292,985.36/404,327.76 = 165,680/x
  3. Step 3: Cross multiply
    292,985.36x = 404,327.76 × 165,680
  4. Step 4: Simplify right side
    292,985.36x = 66,989,023,276.80
  5. Step 5: Solve for x
    x = 66,989,023,276.80/292,985.36
  6. Step 6: Final answer
    x = 228,642.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.