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Finding the Fourth Proportional to 296,051.60, 408,555.52 and 166,996.24

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Solution

The fourth proportional to 296,051.60, 408,555.52 and 166,996.24 is: 230,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,051.60 : 408,555.52 = 166,996.24 : x
  2. Step 2: Convert to fraction form
    296,051.60/408,555.52 = 166,996.24/x
  3. Step 3: Cross multiply
    296,051.60x = 408,555.52 × 166,996.24
  4. Step 4: Simplify right side
    296,051.60x = 68,227,235,671.24
  5. Step 5: Solve for x
    x = 68,227,235,671.24/296,051.60
  6. Step 6: Final answer
    x = 230,457.24

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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.