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Finding the Fourth Proportional to 296,904.44, 445,350.42 and 72,266.13

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Solution

The fourth proportional to 296,904.44, 445,350.42 and 72,266.13 is: 108,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,904.44 : 445,350.42 = 72,266.13 : x
  2. Step 2: Convert to fraction form
    296,904.44/445,350.42 = 72,266.13/x
  3. Step 3: Cross multiply
    296,904.44x = 445,350.42 × 72,266.13
  4. Step 4: Simplify right side
    296,904.44x = 32,183,751,347.27
  5. Step 5: Solve for x
    x = 32,183,751,347.27/296,904.44
  6. Step 6: Final answer
    x = 108,397.68

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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.