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Finding the Fourth Proportional to 296,390.56, 444,362.25 and 96,591.64

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Solution

The fourth proportional to 296,390.56, 444,362.25 and 96,591.64 is: 144,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,390.56 : 444,362.25 = 96,591.64 : x
  2. Step 2: Convert to fraction form
    296,390.56/444,362.25 = 96,591.64/x
  3. Step 3: Cross multiply
    296,390.56x = 444,362.25 × 96,591.64
  4. Step 4: Simplify right side
    296,390.56x = 42,921,678,481.59
  5. Step 5: Solve for x
    x = 42,921,678,481.59/296,390.56
  6. Step 6: Final answer
    x = 144,814.59

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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.