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Finding the Fourth Proportional to 296,405.51, 444,691.53 and 119,037.08

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Solution

The fourth proportional to 296,405.51, 444,691.53 and 119,037.08 is: 178,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,405.51 : 444,691.53 = 119,037.08 : x
  2. Step 2: Convert to fraction form
    296,405.51/444,691.53 = 119,037.08/x
  3. Step 3: Cross multiply
    296,405.51x = 444,691.53 × 119,037.08
  4. Step 4: Simplify right side
    296,405.51x = 52,934,781,231.93
  5. Step 5: Solve for x
    x = 52,934,781,231.93/296,405.51
  6. Step 6: Final answer
    x = 178,589.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.