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Finding the Fourth Proportional to 296,513.74, 444,797.96 and 96,835.17

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Solution

The fourth proportional to 296,513.74, 444,797.96 and 96,835.17 is: 145,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,513.74 : 444,797.96 = 96,835.17 : x
  2. Step 2: Convert to fraction form
    296,513.74/444,797.96 = 96,835.17/x
  3. Step 3: Cross multiply
    296,513.74x = 444,797.96 × 96,835.17
  4. Step 4: Simplify right side
    296,513.74x = 43,072,086,072.25
  5. Step 5: Solve for x
    x = 43,072,086,072.25/296,513.74
  6. Step 6: Final answer
    x = 145,261.69

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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.