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Finding the Fourth Proportional to 296,404.26, 444,689.64 and 119,035.82

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Solution

The fourth proportional to 296,404.26, 444,689.64 and 119,035.82 is: 178,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,404.26 : 444,689.64 = 119,035.82 : x
  2. Step 2: Convert to fraction form
    296,404.26/444,689.64 = 119,035.82/x
  3. Step 3: Cross multiply
    296,404.26x = 444,689.64 × 119,035.82
  4. Step 4: Simplify right side
    296,404.26x = 52,933,993,719.46
  5. Step 5: Solve for x
    x = 52,933,993,719.46/296,404.26
  6. Step 6: Final answer
    x = 178,587.16

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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.