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Finding the Fourth Proportional to 296,509.69, 444,765.44 and 71,869.24

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Solution

The fourth proportional to 296,509.69, 444,765.44 and 71,869.24 is: 107,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,509.69 : 444,765.44 = 71,869.24 : x
  2. Step 2: Convert to fraction form
    296,509.69/444,765.44 = 71,869.24/x
  3. Step 3: Cross multiply
    296,509.69x = 444,765.44 × 71,869.24
  4. Step 4: Simplify right side
    296,509.69x = 31,964,953,791.72
  5. Step 5: Solve for x
    x = 31,964,953,791.72/296,509.69
  6. Step 6: Final answer
    x = 107,804.08

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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.