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Finding the Fourth Proportional to 315,462.47, 435,321.73 and 172,194.83

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Solution

The fourth proportional to 315,462.47, 435,321.73 and 172,194.83 is: 237,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462.47 : 435,321.73 = 172,194.83 : x
  2. Step 2: Convert to fraction form
    315,462.47/435,321.73 = 172,194.83/x
  3. Step 3: Cross multiply
    315,462.47x = 435,321.73 × 172,194.83
  4. Step 4: Simplify right side
    315,462.47x = 74,960,149,995.15
  5. Step 5: Solve for x
    x = 74,960,149,995.15/315,462.47
  6. Step 6: Final answer
    x = 237,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.