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Finding the Fourth Proportional to 411,022.44, 616,574.70 and 111,507.96

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Solution

The fourth proportional to 411,022.44, 616,574.70 and 111,507.96 is: 167,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,022.44 : 616,574.70 = 111,507.96 : x
  2. Step 2: Convert to fraction form
    411,022.44/616,574.70 = 111,507.96/x
  3. Step 3: Cross multiply
    411,022.44x = 616,574.70 × 111,507.96
  4. Step 4: Simplify right side
    411,022.44x = 68,752,986,984.61
  5. Step 5: Solve for x
    x = 68,752,986,984.61/411,022.44
  6. Step 6: Final answer
    x = 167,273.07

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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.