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Finding the Fourth Proportional to 296,392.26, 444,671.62 and 119,023.82

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Solution

The fourth proportional to 296,392.26, 444,671.62 and 119,023.82 is: 178,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,392.26 : 444,671.62 = 119,023.82 : x
  2. Step 2: Convert to fraction form
    296,392.26/444,671.62 = 119,023.82/x
  3. Step 3: Cross multiply
    296,392.26x = 444,671.62 × 119,023.82
  4. Step 4: Simplify right side
    296,392.26x = 52,926,512,337.07
  5. Step 5: Solve for x
    x = 52,926,512,337.07/296,392.26
  6. Step 6: Final answer
    x = 178,569.14

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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.