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Finding the Fourth Proportional to 309,053.38, 426,420.56 and 174,917.38

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Solution

The fourth proportional to 309,053.38, 426,420.56 and 174,917.38 is: 241,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053.38 : 426,420.56 = 174,917.38 : x
  2. Step 2: Convert to fraction form
    309,053.38/426,420.56 = 174,917.38/x
  3. Step 3: Cross multiply
    309,053.38x = 426,420.56 × 174,917.38
  4. Step 4: Simplify right side
    309,053.38x = 74,588,367,133.33
  5. Step 5: Solve for x
    x = 74,588,367,133.33/309,053.38
  6. Step 6: Final answer
    x = 241,344.61

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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.