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Finding the Fourth Proportional to 275,448.75, 413,347.91 and 117,678.39

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Solution

The fourth proportional to 275,448.75, 413,347.91 and 117,678.39 is: 176,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,448.75 : 413,347.91 = 117,678.39 : x
  2. Step 2: Convert to fraction form
    275,448.75/413,347.91 = 117,678.39/x
  3. Step 3: Cross multiply
    275,448.75x = 413,347.91 × 117,678.39
  4. Step 4: Simplify right side
    275,448.75x = 48,642,115,970.27
  5. Step 5: Solve for x
    x = 48,642,115,970.27/275,448.75
  6. Step 6: Final answer
    x = 176,592.26

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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.