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Finding the Fourth Proportional to 416,722.36, 575,042.68 and 235,450

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Solution

The fourth proportional to 416,722.36, 575,042.68 and 235,450 is: 324,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,722.36 : 575,042.68 = 235,450 : x
  2. Step 2: Convert to fraction form
    416,722.36/575,042.68 = 235,450/x
  3. Step 3: Cross multiply
    416,722.36x = 575,042.68 × 235,450
  4. Step 4: Simplify right side
    416,722.36x = 135,393,799,006.00
  5. Step 5: Solve for x
    x = 135,393,799,006.00/416,722.36
  6. Step 6: Final answer
    x = 324,901.69

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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.