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Finding the Fourth Proportional to 293,114.40, 404,499.60 and 165,782.40

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Solution

The fourth proportional to 293,114.40, 404,499.60 and 165,782.40 is: 228,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,114.40 : 404,499.60 = 165,782.40 : x
  2. Step 2: Convert to fraction form
    293,114.40/404,499.60 = 165,782.40/x
  3. Step 3: Cross multiply
    293,114.40x = 404,499.60 × 165,782.40
  4. Step 4: Simplify right side
    293,114.40x = 67,058,914,487.04
  5. Step 5: Solve for x
    x = 67,058,914,487.04/293,114.40
  6. Step 6: Final answer
    x = 228,780.69

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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.